288204 has 48 divisors (see below), whose sum is σ = 795648. Its totient is φ = 79488.

The previous prime is 288203. The next prime is 288209. The reversal of 288204 is 402882.

288204 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288204.

It is not an unprimeable number, because it can be changed into a prime (288203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3912 + ... + 3984.

It is an arithmetic number, because the mean of its divisors is an integer number (16576).

2²⁸⁸²⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397824).

288204 is an abundant number, since it is smaller than the sum of its proper divisors (507444).

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

288204 is a wasteful number, since it uses less digits than its factorization.

288204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 288204 is about 536.8463467325. The cubic root of 288204 is about 66.0541337320.

The spelling of 288204 in words is "two hundred eighty-eight thousand, two hundred four".