315352440 has 160 divisors (see below), whose sum is σ = 1141620480. Its totient is φ = 77614848.

The previous prime is 315352423. The next prime is 315352447. The reversal of 315352440 is 44253513.

It is a super-2 number, since 2×315352440² = 198894322827907200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315352447) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38377 + ... + 45863.

It is an arithmetic number, because the mean of its divisors is an integer number (7135128).

Almost surely, 2^315352440 is an apocalyptic number.

315352440 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 315352440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570810240).

315352440 is an abundant number, since it is smaller than the sum of its proper divisors (826268040).

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

315352440 is a wasteful number, since it uses less digits than its factorization.

315352440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7523 (or 7510 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 315352440 is about 17758.1654457886. The cubic root of 315352440 is about 680.6628772491.

The spelling of 315352440 in words is "three hundred fifteen million, three hundred fifty-two thousand, four hundred forty".