389564416 has 96 divisors (see below), whose sum is σ = 823488120. Its totient is φ = 184025088.

The previous prime is 389564393. The next prime is 389564431. The reversal of 389564416 is 614465983.

It can be written as a sum of positive squares in 4 ways, for example, as 387302400 + 2262016 = 19680^2 + 1504^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4016080 + ... + 4016176.

Almost surely, 2^389564416 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 389564416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411744060).

389564416 is an abundant number, since it is smaller than the sum of its proper divisors (433923704).

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

389564416 is an equidigital number, since it uses as much as digits as its factorization.

389564416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 189 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The square root of 389564416 is about 19737.3862504639. The cubic root of 389564416 is about 730.3422527241.

The spelling of 389564416 in words is "three hundred eighty-nine million, five hundred sixty-four thousand, four hundred sixteen".