315007920 has 160 divisors (see below), whose sum is σ = 1111803840. Its totient is φ = 81930240.

The previous prime is 315007919. The next prime is 315007939. The reversal of 315007920 is 29700513.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 86782 + ... + 90338.

It is an arithmetic number, because the mean of its divisors is an integer number (6948774).

Almost surely, 2^315007920 is an apocalyptic number.

315007920 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 315007920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555901920).

315007920 is an abundant number, since it is smaller than the sum of its proper divisors (796795920).

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

315007920 is a wasteful number, since it uses less digits than its factorization.

315007920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 315007920 is about 17748.4624686196. The cubic root of 315007920 is about 680.4149140247.

The spelling of 315007920 in words is "three hundred fifteen million, seven thousand, nine hundred twenty".