315248560 has 120 divisors (see below), whose sum is σ = 834165360. Its totient is φ = 110584320.

The previous prime is 315248543. The next prime is 315248567. The reversal of 315248560 is 65842513.

It is not an unprimeable number, because it can be changed into a prime (315248567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280159 + ... + 281281.

It is an arithmetic number, because the mean of its divisors is an integer number (6951378).

Almost surely, 2^315248560 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 315248560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417082680).

315248560 is an abundant number, since it is smaller than the sum of its proper divisors (518916800).

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

315248560 is a wasteful number, since it uses less digits than its factorization.

315248560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 315248560 is about 17755.2403532028. The cubic root of 315248560 is about 680.5881301662.

The spelling of 315248560 in words is "three hundred fifteen million, two hundred forty-eight thousand, five hundred sixty".