314306892 has 192 divisors, whose sum is σ = 911052800. Its totient is φ = 94478400.

The previous prime is 314306833. The next prime is 314306893. The reversal of 314306892 is 298603413.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (314306893) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5152542 + ... + 5152602.

Almost surely, 2^314306892 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 314306892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455526400).

314306892 is an abundant number, since it is smaller than the sum of its proper divisors (596745908).

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

314306892 is a wasteful number, since it uses less digits than its factorization.

314306892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 314306892 is about 17728.7024905942. The cubic root of 314306892 is about 679.9098006080.

The spelling of 314306892 in words is "three hundred fourteen million, three hundred six thousand, eight hundred ninety-two".