470,400
470,400 is a composite number, even.
470,400 (four hundred seventy thousand four hundred) is an even 6-digit number. It is a composite number with 144 divisors, and factors as 2⁷ × 3 × 5² × 7². Its proper divisors sum to 1,331,940, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72D80.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 4,074
- Square (n²)
- 221,276,160,000
- Cube (n³)
- 104,088,305,664,000,000
- Divisor count
- 144
- σ(n) — sum of divisors
- 1,802,340
- φ(n) — Euler's totient
- 107,520
- Sum of prime factors
- 41
Primality
Prime factorization: 2 7 × 3 × 5 2 × 7 2
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√470,400 = [685; (1, 5, 1, 1370)]
Period length 4 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy thousand four hundred
- Ordinal
- 470400th
- Binary
- 1110010110110000000
- Octal
- 1626600
- Hexadecimal
- 0x72D80
- Base64
- By2A
- One's complement
- 4,294,496,895 (32-bit)
- Scientific notation
- 4.704 × 10⁵
- As a duration
- 470,400 s = 5 days, 10 hours, 40 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵υουʹ
- Chinese
- 四十七萬零四百
- Chinese (financial)
- 肆拾柒萬零肆佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470400, here are decompositions:
- 11 + 470389 = 470400
- 41 + 470359 = 470400
- 53 + 470347 = 470400
- 67 + 470333 = 470400
- 83 + 470317 = 470400
- 97 + 470303 = 470400
- 101 + 470299 = 470400
- 103 + 470297 = 470400
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.45.128.
- Address
- 0.7.45.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.45.128
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 470,400 and was likely granted around 1891.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.