400 (four hundred) is the natural number following

399 __NOTOC__ Year 399 ( CCCXCIX) was a common year starting on Saturday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Eutropius and Theodorus (or, less frequently, year 11 ...

and preceding

401 __NOTOC__ Year 401 ( CDI) was a common year starting on Tuesday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Vincentius and Fravitus (or, less frequently, year 1154 ' ...

Mathematical properties

400 is the square of 20. 400 is the sum of the powers of 7 from 0 to 3, thus making it a repdigit in base 7 (1111). A circle is divided into 400 grads, which is equal to 360

degree Degree may refer to: As a unit of measurement * Degree (angle), a unit of angle measurement ** Degree of geographical latitude ** Degree of geographical longitude * Degree symbol (°), a notation used in science, engineering, and mathemati ...

s and 2π radians. (Degrees and radians are the SI accepted units). 400 is a self number in base 10, since there is no integer that added to the sum of its own digits results in 400. On the other hand, 400 is divisible by the sum of its own base 10 digits, making it a

Harshad number In mathematics, a harshad number (or Niven number) in a given number base is an integer that is divisible by the sum of its digits when written in that base. Harshad numbers in base are also known as -harshad (or -Niven) numbers. Harshad numbers ...

Other fields

Four hundred is also * The Four Hundred (oligarchy) of ancient Athens. * An

HTTP status code This is a list of Hypertext Transfer Protocol (HTTP) response status codes. Status codes are issued by a server in response to a client's request made to the server. It includes codes from IETF Request for Comments (RFCs), other specification ...

for a bad client request. * The Four Hundred (sometimes The Four Hundred Club) a phrase meaning the wealthiest, most famous, or most powerful social group (see, e.g., Ward McAllister), leading to the generation of such lists as the Forbes 400. * The Atari 400 home computer. * A former limited stop bus route which operated from Bolton to

Stockport Stockport is a town and borough in Greater Manchester, England, south-east of Manchester, south-west of Ashton-under-Lyne and north of Macclesfield. The River Goyt and Tame merge to create the River Mersey here. Most of the town is within ...

and

Manchester Airport Manchester Airport is an international airport in Ringway, Manchester, England, south-west of Manchester city centre. In 2019, it was the third busiest airport in the United Kingdom in terms of passenger numbers and the busiest of those n ...

from 1970 to 2004, known as the Trans-Lancs Express. * in the title of the film ''Les Quatre Cent Coups'' ('' The 400 Blows''), a French film directed by

François Truffaut François Roland Truffaut ( , ; ; 6 February 1932 – 21 October 1984) was a French film director, screenwriter, producer, actor, and film critic. He is widely regarded as one of the founders of the French New Wave. After a career of more tha ...

. * A Lebanese card game,

400 (card game) 400 is atrick-taking card game played in two partnerships with a standard deck of 52 playing cards. The object of the game is to be the first team to reach forty-one points. The game somewhat resembles Spades, but with subtle differences. It wa ...

. * the designation for a class of Ontario highways called

400-Series Highways The 400-series highways are a network of controlled-access highways throughout the southern portion of the Canadian province of Ontario, forming a special subset of the provincial highway system. They are analogous to the Interstate Highway ...

. * The 400, later the Twin Cities 400, a Chicago and North Western Railway passenger train that traveled 400 miles between Minneapolis/St. Paul and Chicago, Illinois in 400 minutes. * The yard number of the RMS ''Olympic'', the RMS ''Titanic'''s sister ship. * .400 (2 hits out of 5 at-bats) is a numerically significant annual batting average statistic in Major League Baseball, last accomplished by Ted Williams of the Boston Red Sox in 1941. * The number of days in a Gregorian calendar year changes according to a cycle of exactly 400 years, of which 97 are leap years and 303 are common. * The Intertestamental period or period of time between the writings of the Hebrew Bible and the Christian New Testament texts is traditionally considered to be a roughly four hundred-year period. * The Sun is approximately 400 times the size of the Moon but also is approximately 400 times further away, creating the temporary illusion in which the Sun and Moon in Earth's sky appear as if of similar size. * In gematria 400 is the largest single number that can be represented without using the Sophit forms (see

Kaph Kaph (also spelled kaf) is the eleventh letter of the Semitic abjads, including Phoenician kāp , Hebrew kāf , Aramaic kāp , Syriac kāp̄ , and Arabic kāf (in abjadi order). The Phoenician letter gave rise to the Greek kappa (Κ), Lati ...

Mem Mem (also spelled Meem, Meme, or Mim) is the thirteenth letter of the Semitic abjads, including Hebrew mēm , Aramaic Mem , Syriac mīm ܡ, Arabic mīm and Phoenician mēm . Its sound value is . The Phoenician letter gave rise to the Greek mu ...

, Nun, Pe, and

Tzade Tsade (also spelled , , , , tzadi, sadhe, tzaddik) is the eighteenth letter of the Semitic abjads, including Phoenician ṣādē , Hebrew ṣādi , Aramaic ṣāḏē , Syriac ṣāḏē ܨ, Ge'ez ṣädäy ጸ, and Arabic . Its oldest phoneti ...

). *

List of highways numbered 400 The following highways are numbered 400: Australia * Murray Valley Highway Canada * Ontario Highway 400 Croatia * D400 road Ireland * R400 road Japan * Japan National Route 400 Korea, South * Capital Region Second Ring Expressway Sout ...

Integers from 401 to 499

400s

401

A prime number,

tetranacci number In mathematics, the Fibonacci numbers form a sequence defined recursively by: :F_n = \begin 0 & n = 0 \\ 1 & n = 1 \\ F_ + F_ & n > 1 \end That is, after two starting values, each number is the sum of the two preceding numbers. The Fibonacci sequ ...

, sum of seven consecutive primes (43 + 47 + 53 + 59 + 61 + 67 + 71), sum of nine consecutive primes (29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61), Chen prime, Eisenstein prime with no imaginary part, prime index prime, Mertens function returns 0, member of the Mian–Chowla sequence. *

for "Unauthorized", area code for Rhode Island, also in the name of a retirement plan,

401(k) In the United States, a 401(k) plan is an employer-sponsored, defined-contribution, personal pension (savings) account, as defined in subsection 401(k) of the U.S. Internal Revenue Code. Periodical employee contributions come directly out of their ...

. Stephen Colbert's Formula 401, a "man seed" based product brand his persona on '' The Colbert Report'' promotes for sale to the publi

*

Ontario Highway 401 King's Highway 401, commonly referred to as Highway 401 and also known by its official name as the Macdonald–Cartier Freeway or colloquially referred to as the four-oh-one, is a Controlled-access highway, controlled-access 400-series high ...

, colloquially referred to as the four-oh-one, is a popular Canadian highway 817.9 kilometres (508.2 mi) that stretches from Windsor to the Quebec border, passing through Toronto. It turns into

Quebec Autoroute 20 Autoroute 20 is a Quebec Autoroute, following the Saint Lawrence River through one of the more densely populated parts of Canada, with its central section forming the main route of the Trans-Canada Highway from the A-25 interchange to the A-8 ...

at the Quebec/Ontario border which leads to the cities of Montreal and Quebec.

402

402 = 2 × 3 × 67, sphenic number, nontotient,

, number of graphs with 8 nodes and 9 edges *

for "Payment Required",

area code A telephone numbering plan is a type of numbering scheme used in telecommunication to assign telephone numbers to subscriber telephones or other telephony endpoints. Telephone numbers are the addresses of participants in a telephone network, rea ...

for Nebraska

403

403 = 13 × 31, heptagonal number, Mertens function returns 0. * First number that is the product of an emirp pair. * HTTP 403, the status code for "Forbidden" * Also in the name of a retirement plan in the United States,

403(b) In the United States, a 403(b) plan is a U.S. tax-advantaged retirement savings plan available for public education organizations, some non-profit employers (only Internal Revenue Code 501(c)(3) organizations), cooperative hospital service organiza ...

. * The area code for southern Alberta.

404

404 = 2² × 101, Mertens function returns 0, nontotient, noncototient, number of integer partitions of 20 with an alternating permutation. *

for "Not Found", perhaps the most famous HTTP status code. * Section 404 of the Sarbanes–Oxley Act. * One of the three area codes of the Atlanta calling area.

405

405 = 3⁴ × 5, Mertens function returns 0,

, pentagonal pyramidal number; *

for "Method Not Allowed". *

Area code A telephone numbering plan is a type of numbering scheme used in telecommunication to assign telephone numbers to subscriber telephones or other telephony endpoints. Telephone numbers are the addresses of participants in a telephone network, rea ...

for central Oklahoma, including Oklahoma City and surrounding suburbs. * Interstate 405 is a major, heavily traveled freeway in Southern California, known to the local as "The 405".

406

406 = 2 × 7 × 29, sphenic number, triangular number,

centered nonagonal number A centered nonagonal number (or centered enneagonal number) is a centered figurate number that represents a nonagon with a dot in the center and all other dots surrounding the center dot in successive nonagonal layers. The centered nonagonal n ...

, nontotient *

for "Not Acceptable". *''406'' is a poem by John Boyle O'Reilly. It was believed to have been the number of one of O'Reilly's prison cells, and was the number of his first hotel room after he arrived in the United States. Hence the number had a mystical significance to him, as intimated in the poem. * Peugeot 406 car. *

for all of Montana.

407

407 = 11 × 37, *sum of cubes of 4, 0 and 7 (4³ + 0³ + 7³ = 407); narcissistic number *sum of three consecutive primes (131 + 137 + 139) *Mertens function returns 0 *Harshad number *lazy caterer number *

for "Proxy Authentication Required" *Area code for Orlando, Florida *Colloquial name for the Express Toll Route in Ontario

408

408 = 2³ × 3 × 17 *Sum of four consecutive primes (97 + 101 + 103 + 107) *Sum of eight consecutive primes (37 + 41 + 43 + 47 + 53 + 59 + 61 + 67) * Pell number * Mertens function returns 0 * Octagonal number *

Untouchable number An untouchable number is a positive integer that cannot be expressed as the sum of all the proper divisors of any positive integer (including the untouchable number itself). That is, these numbers are not in the image of the aliquot sum function. ...

*Harshad number *

for "Request Timeout" *Area code for the Silicon Valley

409

409 is a prime number, Chen prime, centered triangular number. *A family of cleaning products, Formula 409 *An engine known as the Chevrolet 409, a 409 cubic inch W-series V8. *The song "

409 __NOTOC__ Year 409 ( CDIX) was a common year starting on Friday (link will display the full calendar) of the Julian calendar. In the Roman Empire, it was known as the Year of the Consulship of Honorius and Theodosius (or, less frequently, yea ...

" by The Beach Boys, inspired by the above engine *

for "Conflict" *A

Green Day Green Day is an American rock band formed in the East Bay of California in 1987 by lead vocalist and guitarist Billie Joe Armstrong, together with bassist and backing vocalist Mike Dirnt. For most of the band's career, they have been a powe ...

song, "409 in Your Coffeemaker", included on their album ''

1,039/Smoothed Out Slappy Hours ''1,039/Smoothed Out Slappy Hours'' is a compilation album comprising early recordings by American rock band Green Day, released October 1, 1991, on Lookout Records. Often erroneously referred to as the band's debut album, the compilation combines ...

'' *The

for a part of eastern Texas *

Venice Venice ( ; it, Venezia ; vec, Venesia or ) is a city in northeastern Italy and the capital of the Veneto Regions of Italy, region. It is built on a group of 118 small islands that are separated by canals and linked by over 400 ...

has 409 bridges. *A Bullet For My Valentine song, "Room 409", from the album '' The Poison'' * Joe Paterno holds the record as the winningest head coach in NCAA FBS with 409 victories.

410s

410

410 = 2 × 5 × 41, sphenic number, sum of six consecutive primes (59 + 61 + 67 + 71 + 73 + 79), nontotient, Harshad number, number of triangle-free graphs on 8 vertices *

for "Gone". * Area Code 410, a telephone area code for the US State of Maryland, representing portions of the state including the Baltimore metropolitan area and the Eastern Shore.

411

411 = 3 × 137, self number, *

for "Length Required", slang for information (see

4-1-1 4-1-1 is a telephone number for local directory assistance in Canada and the United States. Until the early 1980s, 4-1-1 and the related 1-1-3 number were free to call in most states. In the United States, the service is common known as “infor ...

) *The number of possible FM broadcasting frequencies between 87.50 and 108.00 MHz in 50 kHz spacing countries

412

412 = 2² × 103, nontotient, noncototient, sum of twelve consecutive primes (13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), 412⁶⁴ + 1 is prime *

for "Precondition Failed" * Area code for Pittsburgh, Pennsylvania. * Fictitious Police Code for "Overacting" from
St. George and the Dragonet
-

Stan Freeberg Stan Freberg (born Stanley Friberg; August 7, 1926 – April 7, 2015) was an American actor, author, comedian, musician, radio personality, puppeteer and advertising creative director. His best-known works include " St. George and the Dragonet" ...

413

413 = 7 × 59, Mertens function returns 0, self number, Blum integer *

for "Request Entity Too Large" * Area code for Western Massachusetts. *An important and recurring number in the webcomic Homestuck by Andrew Hussie.

414

414 = 2 × 3² × 23, Mertens function returns 0, nontotient, Harshad number, number of balanced partitions of 31 :

\sum_^^

is prime *

for "Request-URI Too Long" *

for Milwaukee, Wisconsin. * The 414s, a group of hackers from Milwaukee, Wisconsin.

415

415 = 5 × 83, logarithmic number *

for "Unsupported Media Type" *

415 Records 415 Records was a San Francisco record label created in 1978. The label focused its efforts on local punk rock and new wave music acts of the late 1970s through the late 1980s, including The Offs, The Nuns, The Units, Romeo Void, and Wire Train. ...

, a record label * 415 refers to California

Penal Code A criminal code (or penal code) is a document that compiles all, or a significant amount of a particular jurisdiction's criminal law. Typically a criminal code will contain offences that are recognised in the jurisdiction, penalties that might ...

, section 415, pertaining to public fighting, public disturbance, and public use of offensive words likely to provoke an immediate violent reaction. * Area code 415, a telephone area code for San Francisco, California

416

416 = 2⁵ × 13, number o
independent vertex sets
an

in the

*

for "Requested Range Not Satisfiable" *416 is also a nickname for the city of Toronto, based on the area code it used before overlay plans added two more area codes.

417

417 = 3 × 139, Blum integer *

for "Expectation Failed". Also the area code for southwestern Missouri, including

Springfield Springfield may refer to: * Springfield (toponym), the place name in general Places and locations Australia * Springfield, New South Wales (Central Coast) * Springfield, New South Wales (Snowy Monaro Regional Council) * Springfield, Queenslan ...

, and Joplin.

418

418 = 2 × 11 × 19, sphenic number, balanced number * the number of Abrahadabra *

Hyper Text Coffee Pot Control Protocol The Hyper Text Coffee Pot Control Protocol (HTCPCP) is a facetious communication protocol for controlling, monitoring, and diagnosing coffee pots. It is specified in , published on 1 April 1998 as an April Fools' Day RFC, as part of an April Foo ...

status code for "Teapot" as an April Fools' joke.

419

A prime number, Sophie Germain prime, Chen prime, Eisenstein prime with no imaginary part, highly cototient number, Mertens function returns 0 *refers to the Nigerian advance fee fraud scheme (after the section of the Nigerian Criminal Code it violates)

420s

420

421

* A prime number, sum of five consecutive primes (73 + 79 + 83 + 89 + 97), centered square number, also SMTP code meaning the transmission channel will be closing *

Country calling code Country calling codes or country dial-in codes are telephone number prefixes for reaching telephone subscribers in the networks of the member countries or regions of the International Telecommunication Union (ITU). The codes are defined by the ...

for Slovakia

422

422 = 2 × 211, Mertens function returns 0, nontotient, since 422 = 20² + 20 + 2 it is the maximum number of regions into which 2
intersecting circles divide the plane

423

423 = 3² × 47, Mertens function returns 0,

, number of secondary structures of RNA molecules with 10 nucleotides *

for Liechtenstein

424

424 = 2³ × 53, sum of ten consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61), Mertens function returns 0, refactorable number, self number

425

425 = 5² × 17, pentagonal number,

centered tetrahedral number A centered tetrahedral number is a centered figurate number that represents a tetrahedron In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, ...

, sum of three consecutive primes (137 + 139 + 149), Mertens function returns 0, the second number that can be expressed as the sum of two squares in three different ways (425 = 20² + 5² = 19² + 8² = 16² + 13²). * 425 is an area code in Washington State.

426

426 = 2 × 3 × 71, sphenic number, nontotient,

untouchable number An untouchable number is a positive integer that cannot be expressed as the sum of all the proper divisors of any positive integer (including the untouchable number itself). That is, these numbers are not in the image of the aliquot sum function. ...

427

427 = 7 × 61, Mertens function returns 0. 427! + 1 is prime.

428

428 = 2² × 107, Mertens function returns 0, nontotient, 428³² + 1 is prime *'' 428: Shibuya Scramble'', a video game

429

429 = 3 × 11 × 13, sphenic number, Catalan number

430s

430

430 = 2 × 5 × 43, sphenic number, untouchable number

431

A prime number, Sophie Germain prime, sum of seven consecutive primes (47 + 53 + 59 + 61 + 67 + 71 + 73), Chen prime, prime index prime, Eisenstein prime with no imaginary part *It is also the fourth Leyland prime of the second kind. *The distance between Earth and the star Polaris in light years. *

Area code 431 Year 431 ( CDXXXI) was a common year starting on Thursday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Bassus and Antiochus (or, less frequently, year 1184 ''Ab urbe c ...

is a telephone area code for Manitoba, Canada.

432

432 = 2⁴ × 3³ = 4² × 3³, the sum of four consecutive primes (103 + 107 + 109 + 113), a Harshad number, a

highly totient number A highly totient number k is an integer that has more solutions to the equation \phi(x) = k, where \phi is Euler's totient function, than any integer below it. The first few highly totient numbers are 1, 2, 4, 8, 12, 24, 48, 72, 144, 240, ...

, an Achilles number and the sum of totient function for first 37 integers. 432! is the first factorial that is not a

in base 10. 432 is also three-dozen sets of a dozen, making it three gross. An equilateral triangle whose area and perimeter are equal, has an area (and perimeter) equal to

\sqrt

433

A prime number, Markov number, star number. * The perfect score in the game show '' Fifteen To One'', only ever achieved once in over 2000 shows. * 433 can refer to composer

John Cage John Milton Cage Jr. (September 5, 1912 – August 12, 1992) was an American composer and music theorist. A pioneer of indeterminacy in music, electroacoustic music, and non-standard use of musical instruments, Cage was one of the leading fi ...

's composition

4′33″ ''4′33″'' (pronounced "four minutes, thirty-three seconds" or just "four thirty-three") is a three- movement composition by American experimental composer John Cage. It was composed in 1952, for any instrument or combination of instruments, ...

(pronounced "Four minutes, thirty-three seconds" or just "Four thirty-three").

434

434 = 2 × 7 × 31, sphenic number, sum of six consecutive primes (61 + 67 + 71 + 73 + 79 + 83), nontotient, maximal number of pieces that can be obtained by cutting an annulus with 28 cuts

435

435 = 3 × 5 × 29, sphenic number, triangular number, hexagonal number, self number, number of compositions of 16 into distinct parts * The number of members in the US House of Representatives.

436

436 = 2² × 109, nontotient, noncototient, lazy caterer number

437

437 = 19 × 23, Blum integer

438

438 = 2 × 3 × 73, sphenic number, Smith number. *The "438 match" or "438 game" has been used by cricket media to describe the famous 2006 One Day International in which

Australia Australia, officially the Commonwealth of Australia, is a Sovereign state, sovereign country comprising the mainland of the Australia (continent), Australian continent, the island of Tasmania, and numerous List of islands of Australia, sma ...

scored a world record 434 in their innings, only to see South Africa respond in their innings with 438.

439

A prime number, sum of three consecutive primes (139 + 149 + 151), sum of nine consecutive primes (31 + 37 + 41 + 43 + 47 + 53 + 59 + 61 + 67), strictly non-palindromic number

440s

440

440 = 2³ × 5 × 11, the sum of the first seventeen prime numbers, Harshad number, *in hertz, the standard frequency to which most orchestras tune the pitch A above middle C. A few orchestras tune slightly flatter or sharper than this.

441

441 = 3² × 7² = 21² * 441 is the sum of the cubes of the first 6 natural numbers (441 = 1³ + 2³ + 3³ + 4³ + 5³ + 6³). * 441 is a centered octagonal number, a refactorable number, and a Harshad number. * 441 is the number of squares on a Super Scrabble board.

442

442 = 2 × 13 × 17 = 21² + 1, sphenic number, sum of eight consecutive primes (41 + 43 + 47 + 53 + 59 + 61 + 67 + 71)

443

A prime number, Sophie Germain prime, Chen prime, Eisenstein prime with no imaginary part, Mertens function sets new low of -9, which stands until 659. *In computing, it is the default port for HTTPS connections.

444

444 = 2² × 3 × 37, refactorable number,

, number of noniamonds without holes. * The title of the final track of Autechre's 1993 debut album ''Incunabula''. *The 444th Fighter Squadron "Spare", a fictional air squadron in '' Ace Combat 7: Skies Unknown''.

445

445 = 5 × 89, number of series-reduced trees with 17 nodes

446

446 = 2 × 223, nontotient, self number

447

447 = 3 × 149, number of 1's in all partitions of 22 into odd parts * The flight number of Air France Flight 447

448

448 = 2⁶ × 7, untouchable number, refactorable number, Harshad number

449

A prime number, sum of five consecutive primes (79 + 83 + 89 + 97 + 101), Chen prime, Eisenstein prime with no imaginary part, Proth prime. Also the largest number whose

factorial In mathematics, the factorial of a non-negative denoted is the product of all positive integers less than or equal The factorial also equals the product of n with the next smaller factorial: \begin n! &= n \times (n-1) \times (n-2) \t ...

is less than 10¹⁰⁰⁰

450s

450

450 = 2 × 3² × 5², nontotient, sum of totient function for first 38 integers, refactorable number, Harshad number, * SMTP code meaning the requested mail action was not carried out. *A perfect score in Canadian five-pin bowling. *An

in Southern Quebec.

451

451 = 11 × 41; 451 is a Wedderburn–Etherington number and a centered decagonal number; its reciprocal has period 10; 451 is the smallest number with this period

reciprocal length Reciprocal length or inverse length is a quantity or measurement used in several branches of science and mathematics. As the reciprocal of length, common units used for this measurement include the reciprocal metre or inverse metre (symbol: m− ...

. *The novel '' Fahrenheit 451'' refers to the temperature in Fahrenheit that author Ray Bradbury understood to be the autoignition point of paper. *

for " Unavailable For Legal Reasons" a HTTP response error when the user requests an illegal resource, such as a web page censored by a government.

452

452 = 2² × 113, number of surface-points of a tetrahedron with edge-length 15 *SMTP code meaning that the requested mail action was not carried out because of insufficient system storage

453

453 = 3 × 151, Blum integer

454

454 = 2 × 227, nontotient, a Smith number

455

455 = 5 × 7 × 13, sphenic number, tetrahedral number *''455 Rocket'' is the title of a song by Kathy Mattea *455 kHz is a standard

intermediate frequency In communications and electronic engineering, an intermediate frequency (IF) is a frequency to which a carrier wave is shifted as an intermediate step in transmission or reception. The intermediate frequency is created by mixing the carrier sign ...

for analog superheterodyne

AM broadcast AM broadcasting is radio broadcasting using amplitude modulation (AM) transmissions. It was the first method developed for making audio radio transmissions, and is still used worldwide, primarily for medium wave (also known as "AM band") transmis ...

band receivers. *The sum of the squares of the first 455 primes is divisible by 455.

456

456 = 2³ × 3 × 19, sum of a twin prime (227 + 229), sum of four consecutive primes (107 + 109 + 113 + 127), centered pentagonal number,

icosahedral number An icosahedral number is a figurate number that represents an icosahedron. The ''n''th icosahedral number is given by the formula : The first such numbers are 1, 12, 48, 124, 255, 456, 742, 1128, 1629, 2260, 3036, 3972, 5083, … . History The f ...

* In the TV show Torchwood: Children of Earth, the antagonists were an alien species with the designation 456. * Number of contestants in the South Korean Netflix drama '' Squid Game''.

457

* A prime number, sum of three consecutive primes (149 + 151 + 157), self number. * The international standard frequency for radio avalanche transceivers (457 kHz).

458

458 = 2 × 229, nontotient, number of partitions of 24 into divisors of 24

459

459 = 3³ × 17, triangular matchstick number *

459 West 18th Street 459 West 18th Street is a mid-rise condominium located at that address in the West Chelsea neighborhood of the New York City borough of Manhattan. It is an 11-story building with retail space on its ground floor and 10 residential units, one on e ...

, a residential building at that address in Manhattan's West Chelsea neighborhood, built in 2008.

460s

460

460 = 2² × 5 × 23, centered triangular number, dodecagonal number,

, sum of twelve consecutive primes (17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61)

461

A prime number, Chen prime, sexy prime with 467, Eisenstein prime with no imaginary part, prime index prime

462

462 = 2 × 3 × 7 × 11,

binomial coefficient In mathematics, the binomial coefficients are the positive integers that occur as coefficients in the binomial theorem. Commonly, a binomial coefficient is indexed by a pair of integers and is written \tbinom. It is the coefficient of the t ...

\tbinom 5

, stirling number of the second kind

\left\

, sum of six consecutive primes (67 + 71 + 73 + 79 + 83 + 89), pronic number, sparsely totient number, idoneal number

463

A prime number, sum of seven consecutive primes (53 + 59 + 61 + 67 + 71 + 73 + 79), centered heptagonal number, *Number of days in the synodic period of Ceres *A common baseball

double play In baseball and softball, a double play (denoted as DP in baseball statistics) is the act of making two outs during the same continuous play. Double plays can occur any time there is at least one baserunner and fewer than two outs. In Major Leag ...

(see

baseball positions In the sport of baseball, each of the nine players on a team is assigned a particular fielding position when it is their turn to play defense. Each position conventionally has an associated number, for use in scorekeeping by the official scorer ...

) *A single by Buck 65, named after the baseball term

464

464 = 2⁴ × 29,

primitive abundant number In mathematics a primitive abundant number is an abundant number whose proper divisors are all deficient numbers. For example, 20 is a primitive abundant number because: :#The sum of its proper divisors is 1 + 2 + 4 + 5 + 10 = 22, so 20 is an abu ...

, since 464 = 21² + 21 + 2 it is the maximum number of regions into which 2
intersecting circles divide the plane
maximal number of pieces that can be obtained by cutting an annulus with 29 cuts * In chess it is the number of legal positions of the kings, not counting mirrored positions. Has some importance when constructing an endgame tablebase. * Model number of the home computer

Amstrad CPC 464 The CPC 464 is the first personal home computer built by Amstrad in 1984. It was one of the bestselling and best produced microcomputers, with more than 2 million units sold in Europe. The British microcomputer boom had already peaked before Am ...

465

465 = 3 × 5 × 31, sphenic number, triangular number, member of the Padovan sequence, Harshad number

466

466 = 2 × 233, noncototient, lazy caterer number

467

A prime number, safe prime, sexy prime with 461, Chen prime, Eisenstein prime with no imaginary part :

\sum_^^

is prime

468

468 = 2² × 3² × 13, sum of ten consecutive primes (29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61 + 67), refactorable number, self number, Harshad number

469

469 = 7 × 67,

centered hexagonal number In mathematics and combinatorics, a centered hexagonal number, or hex number, is a centered figurate number that represents a hexagon with a dot in the center and all other dots surrounding the center dot in a hexagonal lattice. The following ...

. 469! - 1 is prime.

470s

470

470 = 2 × 5 × 47, sphenic number, nontotient, noncototient, cake number * In golf, 470 is the minimum length in yards from the tee to the hole on a Par 5. *

470 __NOTOC__ Year 470 ( CDLXX) was a common year starting on Thursday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Severus and Iordanes (or, less frequently, year 1223 '' ...

is an Olympic class of sailing dinghy

471

471 = 3 × 157, sum of three consecutive primes (151 + 157 + 163),

perfect totient number In number theory, a perfect totient number is an integer that is equal to the sum of its iterated totients. That is, we apply the totient function to a number ''n'', apply it again to the resulting totient, and so on, until the number 1 is reached, ...

, φ(471) = φ(σ(471)).

472

472 = 2³ × 59, nontotient, untouchable number, refactorable number, number of distinct ways to cut a 5 × 5 square into squares with integer sides *The

Amstrad CPC472 The Amstrad CPC (short for ''Colour Personal Computer'') is a series of 8-bit home computers produced by Amstrad between 1984 and 1990. It was designed to compete in the mid-1980s home computer market dominated by the Commodore 64 and the Sin ...

was a short-lived home computer for the Spanish market.

473

473 = 11 × 43, sum of five consecutive primes (83 + 89 + 97 + 101 + 103), Blum integer

474

474 = 2 × 3 × 79, sphenic number, sum of eight consecutive primes (43 + 47 + 53 + 59 + 61 + 67 + 71 + 73), nontotient, noncototient, sum of totient function for first 39 integers, untouchable number, nonagonal number

475

475 = 5² × 19, 49- gonal number, member of the Mian–Chowla sequence.

476

476 = 2² × 7 × 17,

, admirable number

477

477 = 3² × 53, pentagonal number

478

478 = 2 × 239, Companion Pell number, number of partitions of 26 that do not contain 1 as a part

479

A prime number, safe prime, sum of nine consecutive primes (37 + 41 + 43 + 47 + 53 + 59 + 61 + 67 + 71), Chen prime, Eisenstein prime with no imaginary part, self number * Also an area code in the U.S. state of Arkansas.

480s

480

480 = 2⁵ × 3 × 5, sum of a twin prime (239 + 241), sum of four consecutive primes (109 + 113 + 127 + 131), highly totient number, refactorable number, Harshad number :

\sum_^^

is prime

481

481 = 13 × 37, octagonal number, centered square number, Harshad number

482

482 = 2 × 241, nontotient, noncototient, number of series-reduced planted trees with 15 nodes

483

483 = 3 × 7 × 23, sphenic number, Smith number

484

484 = 2² × 11² = 22², palindromic square, nontotient

485

485 = 5 × 97, number of triangles (of all sizes, including holes) in Sierpiński's triangle after 5 inscriptions * RS-485

486

486 = 2 × 3⁵, Harshad number, Perrin number * Shorthand for the

Intel 80486 The Intel 486, officially named i486 and also known as 80486, is a microprocessor. It is a higher-performance follow-up to the Intel 386. The i486 was introduced in 1989. It represents the fourth generation of binary compatible CPUs following the ...

microprocessor chip.

487

A prime number, sum of three consecutive primes (157 + 163 + 167), Chen prime, * The only primes under 7.74 × 10¹³ that divide their own decimal repetends are 3, 487, and 56598313. * Shorthand for the Intel 80487 floating point processor chip.

488

488 = 2³ × 61, nontotient, refactorable number, φ(488) = φ(σ(488)), number of surface points on a cube with edge-length 10.

489

489 = 3 × 163, octahedral number

490s

490

490 = 2 × 5 × 7², noncototient, sum of totient function for first 40 integers,

partition number In number theory, the partition function represents the number of possible partitions of a non-negative integer . For instance, because the integer 4 has the five partitions , , , , and . No closed-form expression for the partition function ...

(integer partitions of 19), self number. *The

Christian Christians () are people who follow or adhere to Christianity, a monotheistic Abrahamic religion based on the life and teachings of Jesus Christ. The words ''Christ'' and ''Christian'' derive from the Koine Greek title ''Christós'' (Χρι ...

Gospel of Matthew ( Matthew 18:21-22) says that Jesus told Peter to forgive his brother "seventy times seven" times when his brother sins against hi

491

A prime number, isolated prime, Sophie Germain prime, Chen prime, Eisenstein prime with no imaginary part, strictly non-palindromic number

492

492 = 2² × 3 × 41, sum of six consecutive primes (71 + 73 + 79 + 83 + 89 + 97), refactorable number, member of a Ruth–Aaron pair with 493 under first definition

493

493 = 17 × 29, sum of seven consecutive primes (59 + 61 + 67 + 71 + 73 + 79 + 83), member of a Ruth–Aaron pair with 492 under first definition, the 493d centered octagonal number is also a centered square number

494

494 = 2 × 13 × 19 =

\left\langle \!\! \left\langle  \right\rangle \!\! \right\rangle

, sphenic number, nontotient

495

495 is a pentatope number.

496

496 is the third perfect number, a number whose divisors add up to the actual number (1+2+4+8+16+31+62+124+248=496).

497

497 = 7 × 71, sum of five consecutive primes (89 + 97 + 101 + 103 + 107), lazy caterer number

498

498 = 2 × 3 × 83, sphenic number, untouchable number, admirable number, abundant number

499

A prime number, isolated prime, Chen prime, 4⁴⁹⁹ - 3⁴⁹⁹ is prime

References

{{Authority control Integers