315504 has 60 divisors (see below), whose sum is σ = 1012336. Its totient is φ = 89856.

The previous prime is 315493. The next prime is 315517. The reversal of 315504 is 405513.

315504 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 315504.

It is an unprimeable number.

315504 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 852 + ... + 1164.

2³¹⁵⁵⁰⁴ 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 315504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506168).

315504 is an abundant number, since it is smaller than the sum of its proper divisors (696832).

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

315504 is a wasteful number, since it uses less digits than its factorization.

315504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 315504 is about 561.6974274465. The cubic root of 315504 is about 68.0771903141.

Subtracting 315504 from its reverse (405513), we obtain a palindrome (90009).

The spelling of 315504 in words is "three hundred fifteen thousand, five hundred four".