389424 has 80 divisors (see below), whose sum is σ = 1230080. Its totient is φ = 103680.

The previous prime is 389401. The next prime is 389437. The reversal of 389424 is 424983.

It is a happy number.

389424 is nontrivially palindromic in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 389391 and 389400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6354 + ... + 6414.

It is an arithmetic number, because the mean of its divisors is an integer number (15376).

2³⁸⁹⁴²⁴ 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 389424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615040).

389424 is an abundant number, since it is smaller than the sum of its proper divisors (840656).

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

389424 is a wasteful number, since it uses less digits than its factorization.

389424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 92 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 389424 is about 624.0384603532. The cubic root of 389424 is about 73.0254493116.

The spelling of 389424 in words is "three hundred eighty-nine thousand, four hundred twenty-four".