314532400 has 120 divisors (see below), whose sum is σ = 930155744. Its totient is φ = 99532800.

The previous prime is 314532377. The next prime is 314532431. The reversal of 314532400 is 4235413.

314532400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32080 + ... + 40720.

Almost surely, 2^314532400 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 314532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465077872).

314532400 is an abundant number, since it is smaller than the sum of its proper divisors (615623344).

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

314532400 is a wasteful number, since it uses less digits than its factorization.

314532400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8679 (or 8668 counting only the distinct ones).

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

The square root of 314532400 is about 17735.0613193189. The cubic root of 314532400 is about 680.0723683072.

Adding to 314532400 its reverse (4235413), we get a palindrome (318767813).

The spelling of 314532400 in words is "three hundred fourteen million, five hundred thirty-two thousand, four hundred".