309964928 has 192 divisors, whose sum is σ = 806371200. Its totient is φ = 115974144.

The previous prime is 309964909. The next prime is 309964931. The reversal of 309964928 is 829469903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3482708 + ... + 3482796.

It is an arithmetic number, because the mean of its divisors is an integer number (4199850).

Almost surely, 2^309964928 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 309964928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403185600).

309964928 is an abundant number, since it is smaller than the sum of its proper divisors (496406272).

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

309964928 is a wasteful number, since it uses less digits than its factorization.

309964928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 50.

The square root of 309964928 is about 17605.8208556148. The cubic root of 309964928 is about 676.7644212621.

The spelling of 309964928 in words is "three hundred nine million, nine hundred sixty-four thousand, nine hundred twenty-eight".