315873920 has 64 divisors (see below), whose sum is σ = 765593640. Its totient is φ = 124600320.

The previous prime is 315873919. The next prime is 315873949. The reversal of 315873920 is 29378513.

It can be written as a sum of positive squares in 4 ways, for example, as 293368384 + 22505536 = 17128^2 + 4744^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 43340 + ... + 50100.

Almost surely, 2^315873920 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 315873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382796820).

315873920 is an abundant number, since it is smaller than the sum of its proper divisors (449719720).

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

315873920 is an equidigital number, since it uses as much as digits as its factorization.

315873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6853 (or 6841 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 315873920 is about 17772.8422037670. The cubic root of 315873920 is about 681.0378615072.

The spelling of 315873920 in words is "three hundred fifteen million, eight hundred seventy-three thousand, nine hundred twenty".