314916864 has 120 divisors (see below), whose sum is σ = 865048800. Its totient is φ = 101842944.

The previous prime is 314916839. The next prime is 314916883. The reversal of 314916864 is 468619413.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2113462 + ... + 2113610.

It is an arithmetic number, because the mean of its divisors is an integer number (7208740).

Almost surely, 2^314916864 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 314916864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432524400).

314916864 is an abundant number, since it is smaller than the sum of its proper divisors (550131936).

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

314916864 is an equidigital number, since it uses as much as digits as its factorization.

314916864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 197 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 314916864 is about 17745.8971032743. The cubic root of 314916864 is about 680.3493475981.

The spelling of 314916864 in words is "three hundred fourteen million, nine hundred sixteen thousand, eight hundred sixty-four".