472904 has 8 divisors (see below), whose sum is σ = 886710. Its totient is φ = 236448.

The previous prime is 472883. The next prime is 472907. The reversal of 472904 is 409274.

It can be written as a sum of positive squares in only one way, i.e., 252004 + 220900 = 502^2 + 470^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 472904.

It is not an unprimeable number, because it can be changed into a prime (472907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29549 + ... + 29564.

2⁴⁷²⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

472904 is a deficient number, since it is larger than the sum of its proper divisors (413806).

472904 is a wasteful number, since it uses less digits than its factorization.

472904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59119 (or 59115 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 472904 is about 687.6801582131. The cubic root of 472904 is about 77.9096038031.

Subtracting from 472904 its sum of digits (26), we obtain a triangular number (472878 = T₉₇₂).

The spelling of 472904 in words is "four hundred seventy-two thousand, nine hundred four".