314370440 has 64 divisors (see below), whose sum is σ = 763603200. Its totient is φ = 116123392.

The previous prime is 314370437. The next prime is 314370457. The reversal of 314370440 is 44073413.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20789 + ... + 32571.

It is an arithmetic number, because the mean of its divisors is an integer number (11931300).

Almost surely, 2^314370440 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 314370440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381801600).

314370440 is an abundant number, since it is smaller than the sum of its proper divisors (449232760).

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

314370440 is a wasteful number, since it uses less digits than its factorization.

314370440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11846 (or 11842 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 314370440 is about 17730.4946349503. The cubic root of 314370440 is about 679.9556199410.

The spelling of 314370440 in words is "three hundred fourteen million, three hundred seventy thousand, four hundred forty".