315432 has 48 divisors (see below), whose sum is σ = 922740. Its totient is φ = 96768.

The previous prime is 315421. The next prime is 315437. The reversal of 315432 is 234513.

It can be written as a sum of positive squares in 2 ways, for example, as 285156 + 30276 = 534^2 + 174^2 .

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 315432.

It is not an unprimeable number, because it can be changed into a prime (315437) by changing a digit.

315432 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 768 + ... + 1104.

2³¹⁵⁴³² 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 315432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461370).

315432 is an abundant number, since it is smaller than the sum of its proper divisors (607308).

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

315432 is a wasteful number, since it uses less digits than its factorization.

315432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 355 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 315432 is about 561.6333323442. The cubic root of 315432 is about 68.0720113723.

Adding to 315432 its reverse (234513), we get a palindrome (549945).

It can be divided in two parts, 315 and 432, that added together give a palindrome (747).

The spelling of 315432 in words is "three hundred fifteen thousand, four hundred thirty-two".