315879520 has 96 divisors (see below), whose sum is σ = 822630816. Its totient is φ = 113664000.

The previous prime is 315879517. The next prime is 315879521. The reversal of 315879520 is 25978513.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315879521) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 176872 + ... + 178648.

It is an arithmetic number, because the mean of its divisors is an integer number (8569071).

Almost surely, 2^315879520 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 315879520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411315408).

315879520 is an abundant number, since it is smaller than the sum of its proper divisors (506751296).

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

315879520 is a wasteful number, since it uses less digits than its factorization.

315879520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The square root of 315879520 is about 17772.9997468070. Note that the first 3 decimals coincide. The cubic root of 315879520 is about 681.0418860976.

The spelling of 315879520 in words is "three hundred fifteen million, eight hundred seventy-nine thousand, five hundred twenty".