315406500 has 96 divisors (see below), whose sum is σ = 943453056. Its totient is φ = 81820800.

The previous prime is 315406499. The next prime is 315406571. The reversal of 315406500 is 5604513.

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, 52659 + ... + 58341.

It is an arithmetic number, because the mean of its divisors is an integer number (9827636).

Almost surely, 2^315406500 is an apocalyptic number.

315406500 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 315406500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471726528).

315406500 is an abundant number, since it is smaller than the sum of its proper divisors (628046556).

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

315406500 is a wasteful number, since it uses less digits than its factorization.

315406500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5742 (or 5730 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 315406500 is about 17759.6874972506. The cubic root of 315406500 is about 680.7017697474.

The spelling of 315406500 in words is "three hundred fifteen million, four hundred six thousand, five hundred".