389414304 has 84 divisors (see below), whose sum is σ = 1149532146. Its totient is φ = 129796992.

The previous prime is 389414297. The next prime is 389414309. The reversal of 389414304 is 403414983.

It can be written as a sum of positive squares in only one way, i.e., 382124304 + 7290000 = 19548^2 + 2700^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (389414309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 14982 + ... + 31674.

Almost surely, 2^389414304 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 389414304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574766073).

389414304 is an abundant number, since it is smaller than the sum of its proper divisors (760117842).

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

389414304 is an equidigital number, since it uses as much as digits as its factorization.

389414304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16721 (or 16698 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 389414304 is about 19733.5831515718. The cubic root of 389414304 is about 730.2484323643.

The spelling of 389414304 in words is "three hundred eighty-nine million, four hundred fourteen thousand, three hundred four".