389873920 has 288 divisors, whose sum is σ = 1112590080. Its totient is φ = 129761280.

The previous prime is 389873893. The next prime is 389873923. The reversal of 389873920 is 29378983.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (389873923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9509100 + ... + 9509140.

It is an arithmetic number, because the mean of its divisors is an integer number (3863160).

Almost surely, 2^389873920 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 389873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556295040).

389873920 is an abundant number, since it is smaller than the sum of its proper divisors (722716160).

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

389873920 is a wasteful number, since it uses less digits than its factorization.

389873920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

The square root of 389873920 is about 19745.2252456132. The cubic root of 389873920 is about 730.5356174179.

The spelling of 389873920 in words is "three hundred eighty-nine million, eight hundred seventy-three thousand, nine hundred twenty".