472004832 has 144 divisors (see below), whose sum is σ = 1372412160. Its totient is φ = 141912576.

The previous prime is 472004809. The next prime is 472004849. The reversal of 472004832 is 238400274.

It is a super-2 number, since 2×472004832² = 445577122862696448, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 472004832.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 762219 + ... + 762837.

It is an arithmetic number, because the mean of its divisors is an integer number (9530640).

Almost surely, 2^472004832 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 472004832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686206080).

472004832 is an abundant number, since it is smaller than the sum of its proper divisors (900407328).

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

472004832 is a wasteful number, since it uses less digits than its factorization.

472004832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 472004832 is about 21725.6721875297. The cubic root of 472004832 is about 778.6019400807.

The spelling of 472004832 in words is "four hundred seventy-two million, four thousand, eight hundred thirty-two".