315462144 has 80 divisors (see below), whose sum is σ = 854900640. Its totient is φ = 103371776.

The previous prime is 315462143. The next prime is 315462151. The reversal of 315462144 is 441264513.

315462144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=472.

Its product of digits (11520) is a multiple of the sum of its prime divisors (64).

It is not an unprimeable number, because it can be changed into a prime (315462143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5346787 + ... + 5346845.

It is an arithmetic number, because the mean of its divisors is an integer number (10686258).

Almost surely, 2^315462144 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 315462144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427450320).

315462144 is an abundant number, since it is smaller than the sum of its proper divisors (539438496).

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

315462144 is an frugal number, since it uses more digits than its factorization.

315462144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 64 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 315462144 is about 17761.2540097821. The cubic root of 315462144 is about 680.7417971851.

The spelling of 315462144 in words is "three hundred fifteen million, four hundred sixty-two thousand, one hundred forty-four".