389982600 has 480 divisors, whose sum is σ = 1638436800. Its totient is φ = 83980800.

The previous prime is 389982599. The next prime is 389982643. The reversal of 389982600 is 6289983.

389982600 is a `hidden beast` number, since 38 + 9 + 9 + 8 + 2 + 600 = 666.

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 119 ways as a sum of consecutive naturals, for example, 2154510 + ... + 2154690.

It is an arithmetic number, because the mean of its divisors is an integer number (3413410).

Almost surely, 2^389982600 is an apocalyptic number.

389982600 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 389982600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819218400).

389982600 is an abundant number, since it is smaller than the sum of its proper divisors (1248454200).

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

389982600 is a wasteful number, since it uses less digits than its factorization.

389982600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 389982600 is about 19747.9771115930. The cubic root of 389982600 is about 730.6034916978.

The spelling of 389982600 in words is "three hundred eighty-nine million, nine hundred eighty-two thousand, six hundred".