472864 has 24 divisors (see below), whose sum is σ = 1064448. Its totient is φ = 202560.

The previous prime is 472859. The next prime is 472883. The reversal of 472864 is 468274.

472864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

472864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 832 + ... + 1279.

It is an arithmetic number, because the mean of its divisors is an integer number (44352).

2⁴⁷²⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

472864 is an abundant number, since it is smaller than the sum of its proper divisors (591584).

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

472864 is a wasteful number, since it uses less digits than its factorization.

472864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2120 counting only the distinct ones).

The product of its digits is 10752, while the sum is 31.

The square root of 472864 is about 687.6510743102. The cubic root of 472864 is about 77.9074071120.

The spelling of 472864 in words is "four hundred seventy-two thousand, eight hundred sixty-four".