472722432 has 352 divisors, whose sum is σ = 1650700800. Its totient is φ = 116785152.

The previous prime is 472722431. The next prime is 472722443. The reversal of 472722432 is 234227274.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 472722393 and 472722402.

It is not an unprimeable number, because it can be changed into a prime (472722431) 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, 5311444 + ... + 5311532.

Almost surely, 2^472722432 is an apocalyptic number.

472722432 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 472722432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825350400).

472722432 is an abundant number, since it is smaller than the sum of its proper divisors (1177978368).

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

472722432 is a wasteful number, since it uses less digits than its factorization.

472722432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 133 counting only the distinct ones).

The product of its digits is 37632, while the sum is 33.

The square root of 472722432 is about 21742.1809393630. The cubic root of 472722432 is about 778.9963158764.

The spelling of 472722432 in words is "four hundred seventy-two million, seven hundred twenty-two thousand, four hundred thirty-two".