314458872 has 192 divisors, whose sum is σ = 1002798720. Its totient is φ = 81430272.

The previous prime is 314458867. The next prime is 314458883. The reversal of 314458872 is 278854413.

314458872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1024143 + ... + 1024449.

It is an arithmetic number, because the mean of its divisors is an integer number (5222910).

Almost surely, 2^314458872 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 314458872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501399360).

314458872 is an abundant number, since it is smaller than the sum of its proper divisors (688339848).

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

314458872 is a wasteful number, since it uses less digits than its factorization.

314458872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 399 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 314458872 is about 17732.9882422563. The cubic root of 314458872 is about 680.0193708438.

The spelling of 314458872 in words is "three hundred fourteen million, four hundred fifty-eight thousand, eight hundred seventy-two".