315456 has 56 divisors (see below), whose sum is σ = 877824. Its totient is φ = 99840.

The previous prime is 315451. The next prime is 315461. The reversal of 315456 is 654513.

It is an interprime number because it is at equal distance from previous prime (315451) and next prime (315461).

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

It is not an unprimeable number, because it can be changed into a prime (315451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5926 + ... + 5978.

2³¹⁵⁴⁵⁶ 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 315456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438912).

315456 is an abundant number, since it is smaller than the sum of its proper divisors (562368).

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

315456 is a wasteful number, since it uses less digits than its factorization.

315456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 89 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 315456 is about 561.6546981910. The cubic root of 315456 is about 68.0737377738.

Adding to 315456 its reverse (654513), we get a palindrome (969969).

The spelling of 315456 in words is "three hundred fifteen thousand, four hundred fifty-six".