289380 has 96 divisors (see below), whose sum is σ = 1016064. Its totient is φ = 59904.

The previous prime is 289369. The next prime is 289381. The reversal of 289380 is 83982.

289380 is nontrivially palindromic in base 16.

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

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5434 + ... + 5486.

It is an arithmetic number, because the mean of its divisors is an integer number (10584).

2²⁸⁹³⁸⁰ is an apocalyptic number.

289380 is a gapful number since it is divisible by the number (20) 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 289380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508032).

289380 is an abundant number, since it is smaller than the sum of its proper divisors (726684).

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

289380 is a wasteful number, since it uses less digits than its factorization.

289380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 83 counting only the distinct ones).

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

The square root of 289380 is about 537.9405171578. The cubic root of 289380 is about 66.1438551843.

The spelling of 289380 in words is "two hundred eighty-nine thousand, three hundred eighty".