314305866 has 128 divisors (see below), whose sum is σ = 850176000. Its totient is φ = 84074112.

The previous prime is 314305819. The next prime is 314305889. The reversal of 314305866 is 668503413.

314305866 = 1996² + 1997² + ... + 2071².

314305866 is a `hidden beast` number, since 31 + 43 + 0 + 586 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 314305866.

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 63 ways as a sum of consecutive naturals, for example, 768270 + ... + 768678.

It is an arithmetic number, because the mean of its divisors is an integer number (6642000).

Almost surely, 2^314305866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314305866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425088000).

314305866 is an abundant number, since it is smaller than the sum of its proper divisors (535870134).

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

314305866 is a wasteful number, since it uses less digits than its factorization.

314305866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 314305866 is about 17728.6735544428. The cubic root of 314305866 is about 679.9090607916.

The spelling of 314305866 in words is "three hundred fourteen million, three hundred five thousand, eight hundred sixty-six".