314631400 has 72 divisors (see below), whose sum is σ = 756338310. Its totient is φ = 121718400.

The previous prime is 314631389. The next prime is 314631407. The reversal of 314631400 is 4136413.

314631400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 140232964 + 174398436 = 11842^2 + 13206^2 .

It is not an unprimeable number, because it can be changed into a prime (314631407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 191382 + ... + 193018.

Almost surely, 2^314631400 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 314631400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378169155).

314631400 is an abundant number, since it is smaller than the sum of its proper divisors (441706910).

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

314631400 is a wasteful number, since it uses less digits than its factorization.

314631400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 314631400 is about 17737.8521811408. The cubic root of 314631400 is about 680.1437124167.

Adding to 314631400 its reverse (4136413), we get a palindrome (318767813).

The spelling of 314631400 in words is "three hundred fourteen million, six hundred thirty-one thousand, four hundred".