314470400 has 156 divisors (see below), whose sum is σ = 810515832. Its totient is φ = 120913920.

The previous prime is 314470399. The next prime is 314470423. The reversal of 314470400 is 4074413.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3788759 + ... + 3788841.

Almost surely, 2^314470400 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 314470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405257916).

314470400 is an abundant number, since it is smaller than the sum of its proper divisors (496045432).

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

314470400 is an equidigital number, since it uses as much as digits as its factorization.

314470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 314470400 is about 17733.3132831967. The cubic root of 314470400 is about 680.0276805341.

The spelling of 314470400 in words is "three hundred fourteen million, four hundred seventy thousand, four hundred".