314808416 has 48 divisors (see below), whose sum is σ = 702601200. Its totient is φ = 137645568.

The previous prime is 314808353. The next prime is 314808493. The reversal of 314808416 is 614808413.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 12011 + ... + 27818.

It is an arithmetic number, because the mean of its divisors is an integer number (14637525).

Almost surely, 2^314808416 is an apocalyptic number.

It is an amenable number.

314808416 is an abundant number, since it is smaller than the sum of its proper divisors (387792784).

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

314808416 is a wasteful number, since it uses less digits than its factorization.

314808416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39871 (or 39863 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 314808416 is about 17742.8412606324. The cubic root of 314808416 is about 680.2712412727.

The spelling of 314808416 in words is "three hundred fourteen million, eight hundred eight thousand, four hundred sixteen".