314864000 has 128 divisors (see below), whose sum is σ = 854474400. Its totient is φ = 114432000.

The previous prime is 314863999. The next prime is 314864023. The reversal of 314864000 is 468413.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175106 + ... + 176894.

Almost surely, 2^314864000 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 314864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427237200).

314864000 is an abundant number, since it is smaller than the sum of its proper divisors (539610400).

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

314864000 is a wasteful number, since it uses less digits than its factorization.

314864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 314864000 is about 17744.4075697105. The cubic root of 314864000 is about 680.3112761739.

The spelling of 314864000 in words is "three hundred fourteen million, eight hundred sixty-four thousand".