460,440
460,440 is a composite number, even.
460,440 (four hundred sixty thousand four hundred forty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 5 × 1,279. Its proper divisors sum to 1,037,160, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x70698.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 44,064
- Square (n²)
- 212,004,993,600
- Cube (n³)
- 97,615,579,253,184,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 1,497,600
- φ(n) — Euler's totient
- 122,688
- Sum of prime factors
- 1,296
Primality
Prime factorization: 2 3 × 3 2 × 5 × 1279
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√460,440 = [678; (1, 1, 3, 1, 6, 3, 18, 1, 3, 1, 10, 1, 9, 7, 3, 1, 1, 1, 3, 2, 2, 2, 1, 1, …)]
Representations
- In words
- four hundred sixty thousand four hundred forty
- Ordinal
- 460440th
- Binary
- 1110000011010011000
- Octal
- 1603230
- Hexadecimal
- 0x70698
- Base64
- BwaY
- One's complement
- 4,294,506,855 (32-bit)
- Scientific notation
- 4.6044 × 10⁵
- As a duration
- 460,440 s = 5 days, 7 hours, 54 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υξυμʹ
- Chinese
- 四十六萬零四百四十
- Chinese (financial)
- 肆拾陸萬零肆佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 460440, here are decompositions:
- 23 + 460417 = 460440
- 31 + 460409 = 460440
- 37 + 460403 = 460440
- 47 + 460393 = 460440
- 53 + 460387 = 460440
- 61 + 460379 = 460440
- 67 + 460373 = 460440
- 103 + 460337 = 460440
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.6.152.
- Address
- 0.7.6.152
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.6.152
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 460,440 and was likely granted around 1891.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 460440 first appears in π at position 317,587 of the decimal expansion (the 317,587ordinal-suffix:th digit after the integer 3).
Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.