289800 has 144 divisors (see below), whose sum is σ = 1160640. Its totient is φ = 63360.

The previous prime is 289789. The next prime is 289837. The reversal of 289800 is 8982.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12589 + ... + 12611.

It is an arithmetic number, because the mean of its divisors is an integer number (8060).

2²⁸⁹⁸⁰⁰ is an apocalyptic number.

289800 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 289800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580320).

289800 is an abundant number, since it is smaller than the sum of its proper divisors (870840).

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

289800 is a wasteful number, since it uses less digits than its factorization.

289800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 289800 is about 538.3307533478. The cubic root of 289800 is about 66.1758396454.

It can be divided in two parts, 289 and 800, that added together give a square (1089 = 33²).

The spelling of 289800 in words is "two hundred eighty-nine thousand, eight hundred".