315049824 has 60 divisors (see below), whose sum is σ = 926560404. Its totient is φ = 105015744.

The previous prime is 315049799. The next prime is 315049829. The reversal of 315049824 is 428940513.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315049829) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 58182 + ... + 63365.

Almost surely, 2^315049824 is an apocalyptic number.

It is an amenable number.

315049824 is an abundant number, since it is smaller than the sum of its proper divisors (611510580).

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

315049824 is a wasteful number, since it uses less digits than its factorization.

315049824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121569 (or 121552 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 315049824 is about 17749.6429259859. The cubic root of 315049824 is about 680.4450834698.

It can be divided in two parts, 31504 and 9824, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 315049824 in words is "three hundred fifteen million, forty-nine thousand, eight hundred twenty-four".