309172864 has 256 divisors, whose sum is σ = 877363200. Its totient is φ = 104509440.

The previous prime is 309172861. The next prime is 309172879. The reversal of 309172864 is 468271903.

It is not an unprimeable number, because it can be changed into a prime (309172861) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2434369 + ... + 2434495.

It is an arithmetic number, because the mean of its divisors is an integer number (3427200).

Almost surely, 2^309172864 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 309172864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438681600).

309172864 is an abundant number, since it is smaller than the sum of its proper divisors (568190336).

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

309172864 is a wasteful number, since it uses less digits than its factorization.

309172864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 309172864 is about 17583.3120884548. The cubic root of 309172864 is about 676.1874764499.

The spelling of 309172864 in words is "three hundred nine million, one hundred seventy-two thousand, eight hundred sixty-four".