475904 has 54 divisors (see below), whose sum is σ = 1122156. Its totient is φ = 199680.

The previous prime is 475903. The next prime is 475907. The reversal of 475904 is 409574.

475904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 475904.

It is not an unprimeable number, because it can be changed into a prime (475903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36602 + ... + 36614.

2⁴⁷⁵⁹⁰⁴ is an apocalyptic number.

475904 is a gapful number since it is divisible by the number (44) 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 475904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561078).

475904 is an abundant number, since it is smaller than the sum of its proper divisors (646252).

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

475904 is a wasteful number, since it uses less digits than its factorization.

475904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 475904 is about 689.8579563939. The cubic root of 475904 is about 78.0740038395.

The spelling of 475904 in words is "four hundred seventy-five thousand, nine hundred four".