315482880 has 144 divisors (see below), whose sum is σ = 1042685280. Its totient is φ = 81199104.

The previous prime is 315482863. The next prime is 315482899. The reversal of 315482880 is 88284513.

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, 109944 + ... + 112776.

It is an arithmetic number, because the mean of its divisors is an integer number (7240870).

Almost surely, 2^315482880 is an apocalyptic number.

315482880 is a gapful number since it is divisible by the number (30) 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 315482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521342640).

315482880 is an abundant number, since it is smaller than the sum of its proper divisors (727202400).

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

315482880 is a wasteful number, since it uses less digits than its factorization.

315482880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 315482880 is about 17761.8377427562. The cubic root of 315482880 is about 680.7567123954.

The spelling of 315482880 in words is "three hundred fifteen million, four hundred eighty-two thousand, eight hundred eighty".