309466368 has 108 divisors (see below), whose sum is σ = 944873748. Its totient is φ = 97075200.

The previous prime is 309466349. The next prime is 309466373. The reversal of 309466368 is 863664903.

309466368 is a `hidden beast` number, since 3 + 0 + 9 + 4 + 6 + 636 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 227165184 + 82301184 = 15072^2 + 9072^2 .

It is a super-2 number, since 2×309466368² = 191538865846222848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35218 + ... + 43118.

It is an arithmetic number, because the mean of its divisors is an integer number (8748831).

Almost surely, 2^309466368 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 309466368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472436874).

309466368 is an abundant number, since it is smaller than the sum of its proper divisors (635407380).

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

309466368 is a wasteful number, since it uses less digits than its factorization.

309466368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7940 (or 7923 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 309466368 is about 17591.6562040076. The cubic root of 309466368 is about 676.4013815532.

The spelling of 309466368 in words is "three hundred nine million, four hundred sixty-six thousand, three hundred sixty-eight".