389245600 has 72 divisors (see below), whose sum is σ = 1006177788. Its totient is φ = 146534400.

The previous prime is 389245567. The next prime is 389245603. The reversal of 389245600 is 6542983.

It can be written as a sum of positive squares in 6 ways, for example, as 71978256 + 317267344 = 8484^2 + 17812^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 389245600.

It is not an unprimeable number, because it can be changed into a prime (389245603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 711 + ... + 27910.

Almost surely, 2^389245600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 389245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503088894).

389245600 is an abundant number, since it is smaller than the sum of its proper divisors (616932188).

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

389245600 is a wasteful number, since it uses less digits than its factorization.

389245600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28658 (or 28645 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 389245600 is about 19729.3081480320. The cubic root of 389245600 is about 730.1429631806.

The spelling of 389245600 in words is "three hundred eighty-nine million, two hundred forty-five thousand, six hundred".