472856832 has 288 divisors, whose sum is σ = 1658092800. Its totient is φ = 130056192.

The previous prime is 472856777. The next prime is 472856837. The reversal of 472856832 is 238658274.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472856837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1402968 + ... + 1403304.

Almost surely, 2^472856832 is an apocalyptic number.

472856832 is a gapful number since it is divisible by the number (42) 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 472856832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829046400).

472856832 is an abundant number, since it is smaller than the sum of its proper divisors (1185235968).

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

472856832 is a wasteful number, since it uses less digits than its factorization.

472856832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 378 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 472856832 is about 21745.2714860036. The cubic root of 472856832 is about 779.0701345187.

The spelling of 472856832 in words is "four hundred seventy-two million, eight hundred fifty-six thousand, eight hundred thirty-two".