315793120 has 48 divisors (see below), whose sum is σ = 751984128. Its totient is φ = 125314560.

The previous prime is 315793117. The next prime is 315793169. The reversal of 315793120 is 21397513.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12550 + ... + 28090.

It is an arithmetic number, because the mean of its divisors is an integer number (15666336).

Almost surely, 2^315793120 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 315793120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375992064).

315793120 is an abundant number, since it is smaller than the sum of its proper divisors (436191008).

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

315793120 is a wasteful number, since it uses less digits than its factorization.

315793120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15683 (or 15675 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 31.

The square root of 315793120 is about 17770.5689273022. The cubic root of 315793120 is about 680.9797871212.

The spelling of 315793120 in words is "three hundred fifteen million, seven hundred ninety-three thousand, one hundred twenty".