475808256 has 400 divisors, whose sum is σ = 1782475200. Its totient is φ = 122757120.

The previous prime is 475808251. The next prime is 475808269. The reversal of 475808256 is 652808574.

475808256 is a `hidden beast` number, since 47 + 580 + 8 + 25 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (475808251) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3193270 + ... + 3193418.

It is an arithmetic number, because the mean of its divisors is an integer number (4456188).

Almost surely, 2^475808256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475808256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891237600).

475808256 is an abundant number, since it is smaller than the sum of its proper divisors (1306666944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

475808256 is a wasteful number, since it uses less digits than its factorization.

475808256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 475808256 is about 21813.0295007365. The cubic root of 475808256 is about 780.6876775629.

The spelling of 475808256 in words is "four hundred seventy-five million, eight hundred eight thousand, two hundred fifty-six".