389520 has 60 divisors (see below), whose sum is σ = 1310556. Its totient is φ = 103680.

The previous prime is 389513. The next prime is 389527. The reversal of 389520 is 25983.

It is an interprime number because it is at equal distance from previous prime (389513) and next prime (389527).

It can be written as a sum of positive squares in 2 ways, for example, as 147456 + 242064 = 384^2 + 492^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (389527) by changing a digit.

389520 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 11 ways as a sum of consecutive naturals, for example, 450 + ... + 990.

2³⁸⁹⁵²⁰ is an apocalyptic number.

389520 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 389520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655278).

389520 is an abundant number, since it is smaller than the sum of its proper divisors (921036).

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

389520 is a wasteful number, since it uses less digits than its factorization.

389520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 389520 is about 624.1153739494. The cubic root of 389520 is about 73.0314495129.

It can be divided in two parts, 389 and 520, that added together give a palindrome (909).

The spelling of 389520 in words is "three hundred eighty-nine thousand, five hundred twenty".