314256789 has 96 divisors (see below), whose sum is σ = 617011200. Its totient is φ = 149143680.

The previous prime is 314256779. The next prime is 314256791. The reversal of 314256789 is 987652413.

314256789 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 567 + 89 = 666.

It is not a de Polignac number, because 314256789 - 2⁷ = 314256661 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314256739) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 381432 + ... + 382254.

It is an arithmetic number, because the mean of its divisors is an integer number (6427200).

Almost surely, 2^314256789 is an apocalyptic number.

It is an amenable number.

314256789 is a deficient number, since it is larger than the sum of its proper divisors (302754411).

314256789 is a wasteful number, since it uses less digits than its factorization.

314256789 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 892 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 314256789 is about 17727.2893867055. The cubic root of 314256789 is about 679.8736710248.

The spelling of 314256789 in words is "three hundred fourteen million, two hundred fifty-six thousand, seven hundred eighty-nine".