309073968 has 300 divisors, whose sum is σ = 1081008192. Its totient is φ = 84913920.

The previous prime is 309073951. The next prime is 309073997. The reversal of 309073968 is 869370903.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1968546 + ... + 1968702.

Almost surely, 2^309073968 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 309073968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540504096).

309073968 is an abundant number, since it is smaller than the sum of its proper divisors (771934224).

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

309073968 is a wasteful number, since it uses less digits than its factorization.

309073968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 309073968 is about 17580.4996516026. The cubic root of 309073968 is about 676.1153707598.

The spelling of 309073968 in words is "three hundred nine million, seventy-three thousand, nine hundred sixty-eight".