314264400 has 60 divisors (see below), whose sum is σ = 1006697472. Its totient is φ = 83803520.

The previous prime is 314264359. The next prime is 314264459. The reversal of 314264400 is 4462413.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×314264400² = 197524226214720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 129744 + ... + 132143.

Almost surely, 2^314264400 is an apocalyptic number.

314264400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314264400 is an abundant number, since it is smaller than the sum of its proper divisors (692433072).

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

314264400 is a wasteful number, since it uses less digits than its factorization.

314264400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261908 (or 261897 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 314264400 is about 17727.5040544347. The cubic root of 314264400 is about 679.8791596114.

The spelling of 314264400 in words is "three hundred fourteen million, two hundred sixty-four thousand, four hundred".