315432400 has 60 divisors (see below), whose sum is σ = 778344652. Its totient is φ = 122757120.

The previous prime is 315432389. The next prime is 315432407. The reversal of 315432400 is 4234513.

It can be written as a sum of positive squares in 6 ways, for example, as 440896 + 314991504 = 664^2 + 17748^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315432407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4144 + ... + 25456.

Almost surely, 2^315432400 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 315432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389172326).

315432400 is an abundant number, since it is smaller than the sum of its proper divisors (462912252).

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

315432400 is a wasteful number, since it uses less digits than its factorization.

315432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21368 (or 21357 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 315432400 is about 17760.4166617791. The cubic root of 315432400 is about 680.7204014637.

Adding to 315432400 its reverse (4234513), we get a palindrome (319666913).

The spelling of 315432400 in words is "three hundred fifteen million, four hundred thirty-two thousand, four hundred".