| Base | Representation |
|---|---|
| bin | 11100010010000… |
| … | …101110100100000 |
| 3 | 1020001212022210000 |
| 4 | 130102011310200 |
| 5 | 1432433120410 |
| 6 | 115030140000 |
| 7 | 14521135662 |
| oct | 3422056440 |
| 9 | 1201768700 |
| 10 | 474504480 |
| 11 | 22393326a |
| 12 | 112ab1600 |
| 13 | 773c94a8 |
| 14 | 4703a532 |
| 15 | 2b9cddc0 |
| hex | 1c485d20 |
474504480 has 480 divisors, whose sum is σ = 1844156160. Its totient is φ = 114462720.
The previous prime is 474504451. The next prime is 474504487. The reversal of 474504480 is 84405474.
474504480 is a `hidden beast` number, since 4 + 74 + 504 + 4 + 80 = 666.
It is a tau number, because it is divible by the number of its divisors (480).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (474504487) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10095817 + ... + 10095863.
It is an arithmetic number, because the mean of its divisors is an integer number (3841992).
Almost surely, 2474504480 is an apocalyptic number.
474504480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 474504480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922078080).
474504480 is an abundant number, since it is smaller than the sum of its proper divisors (1369651680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
474504480 is a wasteful number, since it uses less digits than its factorization.
474504480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 134 (or 117 counting only the distinct ones).
The product of its (nonzero) digits is 71680, while the sum is 36.
The square root of 474504480 is about 21783.1237429346. The cubic root of 474504480 is about 779.9739636280.
The spelling of 474504480 in words is "four hundred seventy-four million, five hundred four thousand, four hundred eighty".
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