389961000 has 512 divisors, whose sum is σ = 1603929600. Its totient is φ = 86400000.

The previous prime is 389960953. The next prime is 389961007. The reversal of 389961000 is 169983.

389961000 is a `hidden beast` number, since 38 + 9 + 9 + 610 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (389961007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3860950 + ... + 3861050.

It is an arithmetic number, because the mean of its divisors is an integer number (3132675).

Almost surely, 2^389961000 is an apocalyptic number.

389961000 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 389961000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801964800).

389961000 is an abundant number, since it is smaller than the sum of its proper divisors (1213968600).

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

389961000 is a wasteful number, since it uses less digits than its factorization.

389961000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 389961000 is about 19747.4302125618. The cubic root of 389961000 is about 730.5900027825.

The spelling of 389961000 in words is "three hundred eighty-nine million, nine hundred sixty-one thousand".