389330560 has 64 divisors (see below), whose sum is σ = 939450600. Its totient is φ = 154275840.

The previous prime is 389330533. The next prime is 389330561. The reversal of 389330560 is 65033983.

389330560 is a nontrivial binomial coefficient, being equal to C(27905, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 313431616 + 75898944 = 17704^2 + 8712^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (389330561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66970 + ... + 72550.

Almost surely, 2^389330560 is an apocalyptic number.

389330560 is the 27904-th triangular number.

389330560 is the 9302-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 389330560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469725300).

389330560 is an abundant number, since it is smaller than the sum of its proper divisors (550120040).

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

389330560 is a wasteful number, since it uses less digits than its factorization.

389330560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5709 (or 5697 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 37.

The square root of 389330560 is about 19731.4611724525. The cubic root of 389330560 is about 730.1960816859.

It can be divided in two parts, 3893 and 30560, that added together give a triangular number (34453 = T₂₆₂).

The spelling of 389330560 in words is "three hundred eighty-nine million, three hundred thirty thousand, five hundred sixty".