314564000 has 96 divisors (see below), whose sum is σ = 813758400. Its totient is φ = 119174400.

The previous prime is 314563979. The next prime is 314564011. The reversal of 314564000 is 465413.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73931 + ... + 78069.

It is an arithmetic number, because the mean of its divisors is an integer number (8476650).

Almost surely, 2^314564000 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 314564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406879200).

314564000 is an abundant number, since it is smaller than the sum of its proper divisors (499194400).

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

314564000 is a wasteful number, since it uses less digits than its factorization.

314564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4183 (or 4165 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 314564000 is about 17735.9521875765. The cubic root of 314564000 is about 680.0951423968.

The spelling of 314564000 in words is "three hundred fourteen million, five hundred sixty-four thousand".