315249480 has 192 divisors, whose sum is σ = 1261128960. Its totient is φ = 66507264.

The previous prime is 315249437. The next prime is 315249503. The reversal of 315249480 is 84942513.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27949 + ... + 37571.

It is an arithmetic number, because the mean of its divisors is an integer number (6568380).

Almost surely, 2^315249480 is an apocalyptic number.

315249480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315249480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630564480).

315249480 is an abundant number, since it is smaller than the sum of its proper divisors (945879480).

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

315249480 is a wasteful number, since it uses less digits than its factorization.

315249480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9660 (or 9653 counting only the distinct ones).

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

The square root of 315249480 is about 17755.2662610280. The cubic root of 315249480 is about 680.5887922263.

The spelling of 315249480 in words is "three hundred fifteen million, two hundred forty-nine thousand, four hundred eighty".