314274688 has 64 divisors (see below), whose sum is σ = 770605920. Its totient is φ = 124323840.

The previous prime is 314274661. The next prime is 314274739. The reversal of 314274688 is 886472413.

314274688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1843 + ... + 25138.

Almost surely, 2^314274688 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 314274688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385302960).

314274688 is an abundant number, since it is smaller than the sum of its proper divisors (456331232).

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

314274688 is a wasteful number, since it uses less digits than its factorization.

314274688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27015 (or 27003 counting only the distinct ones).

The product of its digits is 258048, while the sum is 43.

The square root of 314274688 is about 17727.7942226324. The cubic root of 314274688 is about 679.8865785453.

The spelling of 314274688 in words is "three hundred fourteen million, two hundred seventy-four thousand, six hundred eighty-eight".