314900964 has 72 divisors (see below), whose sum is σ = 913156608. Its totient is φ = 89631360.

The previous prime is 314900959. The next prime is 314901011. The reversal of 314900964 is 469009413.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 68589 + ... + 73035.

Almost surely, 2^314900964 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 314900964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456578304).

314900964 is an abundant number, since it is smaller than the sum of its proper divisors (598255644).

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

314900964 is a wasteful number, since it uses less digits than its factorization.

314900964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4745 (or 4740 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 314900964 is about 17745.4491067428. The cubic root of 314900964 is about 680.3378972357.

The spelling of 314900964 in words is "three hundred fourteen million, nine hundred thousand, nine hundred sixty-four".