289200 has 60 divisors (see below), whose sum is σ = 930248. Its totient is φ = 76800.

The previous prime is 289193. The next prime is 289213. The reversal of 289200 is 2982.

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

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

289200 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, 1080 + ... + 1320.

2²⁸⁹²⁰⁰ is an apocalyptic number.

289200 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 289200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465124).

289200 is an abundant number, since it is smaller than the sum of its proper divisors (641048).

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

289200 is a wasteful number, since it uses less digits than its factorization.

289200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 289200 is about 537.7731863900. The cubic root of 289200 is about 66.1301380841.

The spelling of 289200 in words is "two hundred eighty-nine thousand, two hundred".