314434400 has 72 divisors (see below), whose sum is σ = 877287600. Its totient is φ = 107804160.

The previous prime is 314434391. The next prime is 314434411. The reversal of 314434400 is 4434413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22475 + ... + 33674.

It is an arithmetic number, because the mean of its divisors is an integer number (12184550).

Almost surely, 2^314434400 is an apocalyptic number.

It is an amenable number.

314434400 is an abundant number, since it is smaller than the sum of its proper divisors (562853200).

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

314434400 is a wasteful number, since it uses less digits than its factorization.

314434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56176 (or 56163 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 314434400 is about 17732.2982154034. The cubic root of 314434400 is about 680.0017300994.

Adding to 314434400 its reverse (4434413), we get a palindrome (318868813).

The spelling of 314434400 in words is "three hundred fourteen million, four hundred thirty-four thousand, four hundred".