389944800 has 288 divisors, whose sum is σ = 1612396800. Its totient is φ = 89095680.

The previous prime is 389944777. The next prime is 389944837. The reversal of 389944800 is 8449983.

It is a happy number.

389944800 is a `hidden beast` number, since 3 + 89 + 94 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149911 + ... + 152489.

It is an arithmetic number, because the mean of its divisors is an integer number (5598600).

Almost surely, 2^389944800 is an apocalyptic number.

389944800 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 389944800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806198400).

389944800 is an abundant number, since it is smaller than the sum of its proper divisors (1222452000).

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

389944800 is a wasteful number, since it uses less digits than its factorization.

389944800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 389944800 is about 19747.0200283486. The cubic root of 389944800 is about 730.5798857692.

The spelling of 389944800 in words is "three hundred eighty-nine million, nine hundred forty-four thousand, eight hundred".