389304000 has 168 divisors, whose sum is σ = 1392862848. Its totient is φ = 103795200.

The previous prime is 389303987. The next prime is 389304011. The reversal of 389304000 is 403983.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 69297 + ... + 74703.

Almost surely, 2^389304000 is an apocalyptic number.

389304000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 389304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696431424).

389304000 is an abundant number, since it is smaller than the sum of its proper divisors (1003558848).

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

389304000 is a wasteful number, since it uses less digits than its factorization.

389304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5440 (or 5417 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 389304000 is about 19730.7881241475. The cubic root of 389304000 is about 730.1794767312.

Adding to 389304000 its reverse (403983), we get a palindrome (389707983).

The spelling of 389304000 in words is "three hundred eighty-nine million, three hundred four thousand".