315272360 has 64 divisors (see below), whose sum is σ = 766281600. Its totient is φ = 116050176.

The previous prime is 315272359. The next prime is 315272479. The reversal of 315272360 is 63272513.

315272360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217157 + ... + 218603.

It is an arithmetic number, because the mean of its divisors is an integer number (11973150).

Almost surely, 2^315272360 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 315272360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383140800).

315272360 is an abundant number, since it is smaller than the sum of its proper divisors (451009240).

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

315272360 is a wasteful number, since it uses less digits than its factorization.

315272360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 315272360 is about 17755.9105652174. The cubic root of 315272360 is about 680.6052569585.

The spelling of 315272360 in words is "three hundred fifteen million, two hundred seventy-two thousand, three hundred sixty".