315272480 has 96 divisors (see below), whose sum is σ = 814302720. Its totient is φ = 114831360.

The previous prime is 315272479. The next prime is 315272513. The reversal of 315272480 is 84272513.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82451 + ... + 86189.

It is an arithmetic number, because the mean of its divisors is an integer number (8482320).

Almost surely, 2^315272480 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 315272480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407151360).

315272480 is an abundant number, since it is smaller than the sum of its proper divisors (499030240).

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

315272480 is a wasteful number, since it uses less digits than its factorization.

315272480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3802 (or 3794 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 315272480 is about 17755.9139443736. The cubic root of 315272480 is about 680.6053433099.

The spelling of 315272480 in words is "three hundred fifteen million, two hundred seventy-two thousand, four hundred eighty".