Number

460

460 is a composite number, even, a calendar year.

460 (four hundred sixty) is an even 3-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 23. Its proper divisors sum to 548, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CDLX and in binary, 111001100.

Abundant Number Arithmetic Number Centered Triangular Cube-Free Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472

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Historical context — 460 AD

Calendar year

Year 460 (CDLX) was a leap year starting on Friday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Historical context — 460 BC

Calendar year

Year 460 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 460
Ended on: Friday
December 31, 460
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 460s
460–469
Century: 5th century
401–500
Millennium: 1st millennium
1–1000
Years ago: 1,566
1566 years before 2026.

In other calendars

Hebrew: 4220 / 4221 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Metal zodiac:Rat
Sexagenary cycle position 37 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1003 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 452 / 453 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 382 / 381 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 9 bits
Reversed: 64
Recamán's sequence: a(448) = 460
Square (n²): 211,600
Cube (n³): 97,336,000
Divisor count: 12
σ(n) — sum of divisors: 1,008
φ(n) — Euler's totient: 176
Sum of prime factors: 32

Primality

Prime factorization: 2 ² × 5 × 23

Nearest primes: 457 (−3) · 461 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 23 · 46 · 92 · 115 · 230 (half) · 460

Aliquot sum (sum of proper divisors): 548

Factor pairs (a × b = 460)

1 × 460

2 × 230

4 × 115

5 × 92

10 × 46

20 × 23

First multiples

460 · 920 (double) · 1,380 · 1,840 · 2,300 · 2,760 · 3,220 · 3,680 · 4,140 · 4,600

Sums & aliquot sequence

As consecutive integers: 90 + 91 + 92 + 93 + 94 54 + 55 + … + 61 9 + 10 + … + 31

Aliquot sequence: 460 → 548 → 418 → 302 → 154 → 134 → 70 → 74 → 40 → 50 → 43 → 1 → 0 — terminates at zero

Continued fraction of √n

√460 = [21; (2, 4, 3, 1, 2, 10, 2, 1, 3, 4, 2, 42)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: four hundred sixty
Ordinal: 460th
Roman numeral: CDLX
Binary: 111001100
Octal: 714
Hexadecimal: 0x1CC
Base64: Acw=
One's complement: 65,075 (16-bit)
Scientific notation: 4.6 × 10²
As a duration: 460 s = 7 minutes, 40 seconds

In other bases

ternary (3) 122001

quaternary (4) 13030

quinary (5) 3320

senary (6) 2044

septenary (7) 1225

nonary (9) 561

undecimal (11) 389

duodecimal (12) 324

tridecimal (13) 295

tetradecimal (14) 24c

pentadecimal (15) 20a

As an angle

460° = 1 × 360° + 100°

100° ≈ 1.745 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): υξʹ
Mayan (base 20): 𝋡·𝋣·𝋠
Chinese: 四百六十
Chinese (financial): 肆佰陸拾

In other modern scripts

Eastern Arabic ٤٦٠ Devanagari ४६० Bengali ৪৬০ Tamil ௪௬௦ Thai ๔๖๐ Tibetan ༤༦༠ Khmer ៤៦០ Lao ໔໖໐ Burmese ၄၆၀

Digit at this position in famous constants

π — Pi (π): Digit 460 = 9
e — Euler's number (e): Digit 460 = 9
φ — Golden ratio (φ): Digit 460 = 0
√2 — Pythagoras's (√2): Digit 460 = 1
ln 2 — Natural log of 2: Digit 460 = 8
γ — Euler-Mascheroni (γ): Digit 460 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 460, here are decompositions:

3 + 457 = 460
11 + 449 = 460
17 + 443 = 460
29 + 431 = 460
41 + 419 = 460
59 + 401 = 460
71 + 389 = 460
101 + 359 = 460

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Small Letter Nj

U+01CC

Lowercase letter (Ll)

UTF-8 encoding: C7 8C (2 bytes).

Lookup U+01CC on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0001CC

RGB(0, 1, 204)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.204.

Address: 0.0.1.204
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.204

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 460 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯4 (466.2 Hz, -23¢)
Scientific pitch (C4 = 256 Hz): A♯4 (456.1 Hz, +15¢)
Baroque pitch (A4 = 415 Hz): B4 (465.8 Hz, -22¢)