314357440 has 56 divisors (see below), whose sum is σ = 755641872. Its totient is φ = 124554240.

The previous prime is 314357423. The next prime is 314357447. The reversal of 314357440 is 44753413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314357447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29650 + ... + 38830.

Almost surely, 2^314357440 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 314357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377820936).

314357440 is an abundant number, since it is smaller than the sum of its proper divisors (441284432).

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

314357440 is a wasteful number, since it uses less digits than its factorization.

314357440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9305 (or 9295 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 314357440 is about 17730.1280311226. The cubic root of 314357440 is about 679.9462471928.

The spelling of 314357440 in words is "three hundred fourteen million, three hundred fifty-seven thousand, four hundred forty".