389852320 has 144 divisors (see below), whose sum is σ = 1090945800. Its totient is φ = 130775040.

The previous prime is 389852303. The next prime is 389852321. The reversal of 389852320 is 23258983.

It can be written as a sum of positive squares in 4 ways, for example, as 212110096 + 177742224 = 14564^2 + 13332^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (389852321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250906 + ... + 252454.

Almost surely, 2^389852320 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 389852320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545472900).

389852320 is an abundant number, since it is smaller than the sum of its proper divisors (701093480).

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

389852320 is a wasteful number, since it uses less digits than its factorization.

389852320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 389852320 is about 19744.6782703593. The cubic root of 389852320 is about 730.5221259959.

The spelling of 389852320 in words is "three hundred eighty-nine million, eight hundred fifty-two thousand, three hundred twenty".