309467664 has 90 divisors (see below), whose sum is σ = 952025438. Its totient is φ = 93772800.

The previous prime is 309467651. The next prime is 309467731. The reversal of 309467664 is 466764903.

309467664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 246741264 + 62726400 = 15708^2 + 7920^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8544 + ... + 26304.

Almost surely, 2^309467664 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 309467664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476012719).

309467664 is an abundant number, since it is smaller than the sum of its proper divisors (642557774).

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

309467664 is a wasteful number, since it uses less digits than its factorization.

309467664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17797 (or 17777 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 309467664 is about 17591.6930396139. The cubic root of 309467664 is about 676.4023257754.

The spelling of 309467664 in words is "three hundred nine million, four hundred sixty-seven thousand, six hundred sixty-four".