315406912 has 56 divisors (see below), whose sum is σ = 656027136. Its totient is φ = 150171648.

The previous prime is 315406867. The next prime is 315406919. The reversal of 315406912 is 219604513.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (315406919) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 519313 + ... + 519919.

Almost surely, 2^315406912 is an apocalyptic number.

315406912 is a gapful number since it is divisible by the number (32) 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 315406912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328013568).

315406912 is an abundant number, since it is smaller than the sum of its proper divisors (340620224).

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

315406912 is a wasteful number, since it uses less digits than its factorization.

315406912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 315406912 is about 17759.6990965500. The cubic root of 315406912 is about 680.7020661364.

The spelling of 315406912 in words is "three hundred fifteen million, four hundred six thousand, nine hundred twelve".