389436 has 48 divisors (see below), whose sum is σ = 1016064. Its totient is φ = 115456.

The previous prime is 389401. The next prime is 389437. The reversal of 389436 is 634983.

389436 = 204² + 205² + ... + 212².

389436 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 389397 and 389406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389437) 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, 4651 + ... + 4733.

It is an arithmetic number, because the mean of its divisors is an integer number (21168).

2³⁸⁹⁴³⁶ 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 389436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508032).

389436 is an abundant number, since it is smaller than the sum of its proper divisors (626628).

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

389436 is a wasteful number, since it uses less digits than its factorization.

389436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 128 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 389436 is about 624.0480750711. The cubic root of 389436 is about 73.0261993907.

Subtracting from 389436 its sum of digits (33), we obtain a triangular number (389403 = T₈₈₂).

The spelling of 389436 in words is "three hundred eighty-nine thousand, four hundred thirty-six".