389923200 has 192 divisors, whose sum is σ = 1427326800. Its totient is φ = 103956480.

The previous prime is 389923199. The next prime is 389923207. The reversal of 389923200 is 2329983.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389923207) 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 23 ways as a sum of consecutive naturals, for example, 84144 + ... + 88656.

Almost surely, 2^389923200 is an apocalyptic number.

389923200 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 389923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713663400).

389923200 is an abundant number, since it is smaller than the sum of its proper divisors (1037403600).

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

389923200 is a wasteful number, since it uses less digits than its factorization.

389923200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546 (or 4523 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 389923200 is about 19746.4731028100. The cubic root of 389923200 is about 730.5663959821.

The spelling of 389923200 in words is "three hundred eighty-nine million, nine hundred twenty-three thousand, two hundred".