315250320 has 240 divisors, whose sum is σ = 1240688448. Its totient is φ = 65479680.

The previous prime is 315250241. The next prime is 315250333. The reversal of 315250320 is 23052513.

315250320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128142 + ... + 130578.

Almost surely, 2^315250320 is an apocalyptic number.

315250320 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 315250320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620344224).

315250320 is an abundant number, since it is smaller than the sum of its proper divisors (925438128).

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

315250320 is a wasteful number, since it uses less digits than its factorization.

315250320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 315250320 is about 17755.2899159659. The cubic root of 315250320 is about 680.5893967148.

The spelling of 315250320 in words is "three hundred fifteen million, two hundred fifty thousand, three hundred twenty".