314872360 has 64 divisors (see below), whose sum is σ = 783535680. Its totient is φ = 112919040.

The previous prime is 314872319. The next prime is 314872361. The reversal of 314872360 is 63278413.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (314872361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27219 + ... + 37021.

It is an arithmetic number, because the mean of its divisors is an integer number (12242745).

Almost surely, 2^314872360 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 314872360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391767840).

314872360 is an abundant number, since it is smaller than the sum of its proper divisors (468663320).

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

314872360 is a wasteful number, since it uses less digits than its factorization.

314872360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9898 (or 9894 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 314872360 is about 17744.6431353240. The cubic root of 314872360 is about 680.3172971352.

The spelling of 314872360 in words is "three hundred fourteen million, eight hundred seventy-two thousand, three hundred sixty".