315130368 has 240 divisors, whose sum is σ = 1007614080. Its totient is φ = 87220224.

The previous prime is 315130367. The next prime is 315130379. The reversal of 315130368 is 863031513.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315130367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3988953 + ... + 3989031.

It is an arithmetic number, because the mean of its divisors is an integer number (4198392).

Almost surely, 2^315130368 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 315130368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503807040).

315130368 is an abundant number, since it is smaller than the sum of its proper divisors (692483712).

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

315130368 is an equidigital number, since it uses as much as digits as its factorization.

315130368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 315130368 is about 17751.9116717045. The cubic root of 315130368 is about 680.5030648797.

The spelling of 315130368 in words is "three hundred fifteen million, one hundred thirty thousand, three hundred sixty-eight".