315074240 has 224 divisors, whose sum is σ = 875629440. Its totient is φ = 107053056.

The previous prime is 315074239. The next prime is 315074261. The reversal of 315074240 is 42470513.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 3540116 + ... + 3540204.

It is an arithmetic number, because the mean of its divisors is an integer number (3909060).

Almost surely, 2^315074240 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 315074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437814720).

315074240 is an abundant number, since it is smaller than the sum of its proper divisors (560555200).

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

315074240 is a wasteful number, since it uses less digits than its factorization.

315074240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 315074240 is about 17750.3307011447. The cubic root of 315074240 is about 680.4626609202.

The spelling of 315074240 in words is "three hundred fifteen million, seventy-four thousand, two hundred forty".