472884 has 24 divisors (see below), whose sum is σ = 1114848. Its totient is φ = 156000.

The previous prime is 472883. The next prime is 472907. The reversal of 472884 is 488274.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 472884.

It is not an unprimeable number, because it can be changed into a prime (472883) 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 7 ways as a sum of consecutive naturals, for example, 1759 + ... + 2009.

It is an arithmetic number, because the mean of its divisors is an integer number (46452).

2⁴⁷²⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

472884 is an abundant number, since it is smaller than the sum of its proper divisors (641964).

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

472884 is a wasteful number, since it uses less digits than its factorization.

472884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 413 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 472884 is about 687.6656164154. The cubic root of 472884 is about 77.9085054730.

The spelling of 472884 in words is "four hundred seventy-two thousand, eight hundred eighty-four".