389995200 has 504 divisors, whose sum is σ = 1636154208. Its totient is φ = 86261760.

The previous prime is 389995189. The next prime is 389995201. The reversal of 389995200 is 2599983.

389995200 is a `hidden beast` number, since 38 + 9 + 99 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is not an unprimeable number, because it can be changed into a prime (389995201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5342364 + ... + 5342436.

Almost surely, 2^389995200 is an apocalyptic number.

389995200 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 389995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818077104).

389995200 is an abundant number, since it is smaller than the sum of its proper divisors (1246159008).

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

389995200 is a wasteful number, since it uses less digits than its factorization.

389995200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 389995200 is about 19748.2961290335. The cubic root of 389995200 is about 730.6113600017.

It can be divided in two parts, 3899 and 95200, that added together give a palindrome (99099).

The spelling of 389995200 in words is "three hundred eighty-nine million, nine hundred ninety-five thousand, two hundred".