315474432 has 320 divisors, whose sum is σ = 1079764224. Its totient is φ = 79626240.

The previous prime is 315474431. The next prime is 315474437. The reversal of 315474432 is 234474513.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 315474393 and 315474402.

It is not an unprimeable number, because it can be changed into a prime (315474431) 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, 5171682 + ... + 5171742.

Almost surely, 2^315474432 is an apocalyptic number.

315474432 is a gapful number since it is divisible by the number (32) 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 315474432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539882112).

315474432 is an abundant number, since it is smaller than the sum of its proper divisors (764289792).

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

315474432 is a wasteful number, since it uses less digits than its factorization.

315474432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 123 counting only the distinct ones).

The product of its digits is 40320, while the sum is 33.

The square root of 315474432 is about 17761.5999279344. The cubic root of 315474432 is about 680.7506359071.

The spelling of 315474432 in words is "three hundred fifteen million, four hundred seventy-four thousand, four hundred thirty-two".