315468160 has 128 divisors (see below), whose sum is σ = 875600640. Its totient is φ = 106444800.

The previous prime is 315468157. The next prime is 315468173. The reversal of 315468160 is 61864513.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 299635 + ... + 300685.

It is an arithmetic number, because the mean of its divisors is an integer number (6840630).

Almost surely, 2^315468160 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 315468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437800320).

315468160 is an abundant number, since it is smaller than the sum of its proper divisors (560132480).

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

315468160 is a wasteful number, since it uses less digits than its factorization.

315468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 315468160 is about 17761.4233663859. The cubic root of 315468160 is about 680.7461245048.

The spelling of 315468160 in words is "three hundred fifteen million, four hundred sixty-eight thousand, one hundred sixty".