315844960 has 48 divisors (see below), whose sum is σ = 749371392. Its totient is φ = 125798400.

The previous prime is 315844951. The next prime is 315844979. The reversal of 315844960 is 69448513.

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

It is a congruent number.

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, 34465 + ... + 42655.

It is an arithmetic number, because the mean of its divisors is an integer number (15611904).

Almost surely, 2^315844960 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 315844960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374685696).

315844960 is an abundant number, since it is smaller than the sum of its proper divisors (433526432).

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

315844960 is a wasteful number, since it uses less digits than its factorization.

315844960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8447 (or 8439 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 315844960 is about 17772.0274589029. The cubic root of 315844960 is about 681.0170478661.

The spelling of 315844960 in words is "three hundred fifteen million, eight hundred forty-four thousand, nine hundred sixty".