389272800 has 576 divisors, whose sum is σ = 1619896320. Its totient is φ = 79134720.

The previous prime is 389272799. The next prime is 389272811. The reversal of 389272800 is 8272983.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8282377 + ... + 8282423.

It is an arithmetic number, because the mean of its divisors is an integer number (2812320).

Almost surely, 2^389272800 is an apocalyptic number.

389272800 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 389272800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809948160).

389272800 is an abundant number, since it is smaller than the sum of its proper divisors (1230623520).

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

389272800 is a wasteful number, since it uses less digits than its factorization.

389272800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 389272800 is about 19729.9974657880. The cubic root of 389272800 is about 730.1599699462.

The spelling of 389272800 in words is "three hundred eighty-nine million, two hundred seventy-two thousand, eight hundred".