389280 has 48 divisors (see below), whose sum is σ = 1227744. Its totient is φ = 103680.

The previous prime is 389273. The next prime is 389287. The reversal of 389280 is 82983.

389280 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (389273) and next prime (389287).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (389287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75 + ... + 885.

It is an arithmetic number, because the mean of its divisors is an integer number (25578).

2³⁸⁹²⁸⁰ is an apocalyptic number.

389280 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 389280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613872).

389280 is an abundant number, since it is smaller than the sum of its proper divisors (838464).

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

389280 is a wasteful number, since it uses less digits than its factorization.

389280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 389280 is about 623.9230721812. The cubic root of 389280 is about 73.0164471604.

The spelling of 389280 in words is "three hundred eighty-nine thousand, two hundred eighty".