315115440 has 80 divisors (see below), whose sum is σ = 980937216. Its totient is φ = 83680000.

The previous prime is 315115439. The next prime is 315115459. The reversal of 315115440 is 44511513.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 315115440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57625 + ... + 62855.

Almost surely, 2^315115440 is an apocalyptic number.

315115440 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 315115440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490468608).

315115440 is an abundant number, since it is smaller than the sum of its proper divisors (665821776).

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

315115440 is a wasteful number, since it uses less digits than its factorization.

315115440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5498 (or 5492 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 315115440 is about 17751.4912049664. The cubic root of 315115440 is about 680.4923193691.

Adding to 315115440 its reverse (44511513), we get a palindrome (359626953).

The spelling of 315115440 in words is "three hundred fifteen million, one hundred fifteen thousand, four hundred forty".