389431680 has 128 divisors (see below), whose sum is σ = 1354233600. Its totient is φ = 94402560.

The previous prime is 389431673. The next prime is 389431681. The reversal of 389431680 is 86134983.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389431681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11901 + ... + 30339.

It is an arithmetic number, because the mean of its divisors is an integer number (10579950).

Almost surely, 2^389431680 is an apocalyptic number.

389431680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 389431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677116800).

389431680 is an abundant number, since it is smaller than the sum of its proper divisors (964801920).

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

389431680 is a wasteful number, since it uses less digits than its factorization.

389431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18472 (or 18460 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 389431680 is about 19734.0234113574. The cubic root of 389431680 is about 730.2592936398.

The spelling of 389431680 in words is "three hundred eighty-nine million, four hundred thirty-one thousand, six hundred eighty".