315263304 has 96 divisors (see below), whose sum is σ = 888675840. Its totient is φ = 100857600.

The previous prime is 315263297. The next prime is 315263363. The reversal of 315263304 is 403362513.

It is a happy number.

It is a super-4 number, since 4×315263304⁴ (a number of 35 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305269 + ... + 306299.

It is an arithmetic number, because the mean of its divisors is an integer number (9257040).

Almost surely, 2^315263304 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 315263304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444337920).

315263304 is an abundant number, since it is smaller than the sum of its proper divisors (573412536).

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

315263304 is a wasteful number, since it uses less digits than its factorization.

315263304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1204 counting only the distinct ones).

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

The square root of 315263304 is about 17755.6555497115. The cubic root of 315263304 is about 680.5987402437.

It can be divided in two parts, 315 and 263304, that multiplied together give a triangular number (82940760 = T₁₂₈₇₉).

The spelling of 315263304 in words is "three hundred fifteen million, two hundred sixty-three thousand, three hundred four".