314200400 has 30 divisors (see below), whose sum is σ = 754867422. Its totient is φ = 125680000.

The previous prime is 314200391. The next prime is 314200417. The reversal of 314200400 is 4002413.

It can be written as a sum of positive squares in 3 ways, for example, as 38241856 + 275958544 = 6184^2 + 16612^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 392351 + ... + 393150.

Almost surely, 2^314200400 is an apocalyptic number.

It is an amenable number.

314200400 is an abundant number, since it is smaller than the sum of its proper divisors (440667022).

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

314200400 is a wasteful number, since it uses less digits than its factorization.

314200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785519 (or 785508 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 314200400 is about 17725.6988578730. The cubic root of 314200400 is about 679.8330039748.

Adding to 314200400 its reverse (4002413), we get a palindrome (318202813).

The spelling of 314200400 in words is "three hundred fourteen million, two hundred thousand, four hundred".