315264330 has 48 divisors (see below), whose sum is σ = 820913184. Its totient is φ = 83944800.

The previous prime is 315264319. The next prime is 315264349. The reversal of 315264330 is 33462513.

It is a happy number.

315264330 is a `hidden beast` number, since 3 + 15 + 2 + 643 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 315264294 and 315264303.

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 23 ways as a sum of consecutive naturals, for example, 68605 + ... + 73055.

It is an arithmetic number, because the mean of its divisors is an integer number (17102358).

Almost surely, 2^315264330 is an apocalyptic number.

315264330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

315264330 is an abundant number, since it is smaller than the sum of its proper divisors (505648854).

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

315264330 is a wasteful number, since it uses less digits than its factorization.

315264330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5251 (or 5248 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 315264330 is about 17755.6844418907. The cubic root of 315264330 is about 680.5994785615.

The spelling of 315264330 in words is "three hundred fifteen million, two hundred sixty-four thousand, three hundred thirty".