389296000 has 128 divisors (see below), whose sum is σ = 1002456000. Its totient is φ = 150169600.

The previous prime is 389295931. The next prime is 389296001. The reversal of 389296000 is 692983.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389296001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463581 + ... + 464419.

Almost surely, 2^389296000 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 389296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501228000).

389296000 is an abundant number, since it is smaller than the sum of its proper divisors (613160000).

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

389296000 is an equidigital number, since it uses as much as digits as its factorization.

389296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 389296000 is about 19730.5853942553. The cubic root of 389296000 is about 730.1744750908.

The spelling of 389296000 in words is "three hundred eighty-nine million, two hundred ninety-six thousand".