314811392 has 88 divisors (see below), whose sum is σ = 739278144. Its totient is φ = 131162112.

The previous prime is 314811383. The next prime is 314811397. The reversal of 314811392 is 293118413.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (314811397) 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, 264623 + ... + 265809.

It is an arithmetic number, because the mean of its divisors is an integer number (8400888).

Almost surely, 2^314811392 is an apocalyptic number.

314811392 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314811392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369639072).

314811392 is an abundant number, since it is smaller than the sum of its proper divisors (424466752).

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

314811392 is a wasteful number, since it uses less digits than its factorization.

314811392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1233 counting only the distinct ones).

The product of its digits is 5184, while the sum is 32.

The square root of 314811392 is about 17742.9251252436. The cubic root of 314811392 is about 680.2733848842.

The spelling of 314811392 in words is "three hundred fourteen million, eight hundred eleven thousand, three hundred ninety-two".