315379008 has 168 divisors, whose sum is σ = 1071749952. Its totient is φ = 90077184.

The previous prime is 315379007. The next prime is 315379021. The reversal of 315379008 is 800973513.

315379008 is a `hidden beast` number, since 31 + 537 + 90 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315379003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107416 + ... + 110312.

It is an arithmetic number, because the mean of its divisors is an integer number (6379464).

Almost surely, 2^315379008 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 315379008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535874976).

315379008 is an abundant number, since it is smaller than the sum of its proper divisors (756370944).

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

315379008 is an equidigital number, since it uses as much as digits as its factorization.

315379008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 315379008 is about 17758.9134802780. The cubic root of 315379008 is about 680.6819916760.

The spelling of 315379008 in words is "three hundred fifteen million, three hundred seventy-nine thousand, eight".