389795920 has 80 divisors (see below), whose sum is σ = 931078800. Its totient is φ = 151703552.

The previous prime is 389795911. The next prime is 389795921. The reversal of 389795920 is 29597983.

It can be written as a sum of positive squares in 8 ways, for example, as 83685904 + 306110016 = 9148^2 + 17496^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389795921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 631452 + ... + 632068.

It is an arithmetic number, because the mean of its divisors is an integer number (11638485).

Almost surely, 2^389795920 is an apocalyptic number.

389795920 is the 9872-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 389795920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465539400).

389795920 is an abundant number, since it is smaller than the sum of its proper divisors (541282880).

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

389795920 is a wasteful number, since it uses less digits than its factorization.

389795920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 52.

The square root of 389795920 is about 19743.2499857546. The cubic root of 389795920 is about 730.4868960444.

The spelling of 389795920 in words is "three hundred eighty-nine million, seven hundred ninety-five thousand, nine hundred twenty".