389509120 has 416 divisors, whose sum is σ = 1321044480. Its totient is φ = 106168320.

The previous prime is 389509111. The next prime is 389509157. The reversal of 389509120 is 21905983.

389509120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (416).

It is a self number, because there is not a number n which added to its sum of digits gives 389509120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20500471 + ... + 20500489.

Almost surely, 2^389509120 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 389509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660522240).

389509120 is an abundant number, since it is smaller than the sum of its proper divisors (931535360).

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

389509120 is a wasteful number, since it uses less digits than its factorization.

389509120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 389509120 is about 19735.9854073720. The cubic root of 389509120 is about 730.3076953959.

The spelling of 389509120 in words is "three hundred eighty-nine million, five hundred nine thousand, one hundred twenty".