314206400 has 42 divisors (see below), whose sum is σ = 773148060. Its totient is φ = 125681920.

The previous prime is 314206391. The next prime is 314206457. The reversal of 314206400 is 4602413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 96590 + ... + 99789.

Almost surely, 2^314206400 is an apocalyptic number.

It is an amenable number.

314206400 is an abundant number, since it is smaller than the sum of its proper divisors (458941660).

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

314206400 is a wasteful number, since it uses less digits than its factorization.

314206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196401 (or 196386 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 314206400 is about 17725.8681028603. The cubic root of 314206400 is about 679.8373313319.

Adding to 314206400 its reverse (4602413), we get a palindrome (318808813).

The spelling of 314206400 in words is "three hundred fourteen million, two hundred six thousand, four hundred".