389952 has 42 divisors (see below), whose sum is σ = 1119378. Its totient is φ = 129792.

The previous prime is 389947. The next prime is 389953. The reversal of 389952 is 259983.

It can be written as a sum of positive squares in only one way, i.e., 389376 + 576 = 624^2 + 24^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389953) by changing a digit.

389952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 238 + ... + 914.

2³⁸⁹⁹⁵² is an apocalyptic number.

389952 is a gapful number since it is divisible by the number (32) 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 389952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559689).

389952 is an abundant number, since it is smaller than the sum of its proper divisors (729426).

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

389952 is a wasteful number, since it uses less digits than its factorization.

389952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 682 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 389952 is about 624.4613679004. The cubic root of 389952 is about 73.0584382254.

The spelling of 389952 in words is "three hundred eighty-nine thousand, nine hundred fifty-two".