288804 has 24 divisors (see below), whose sum is σ = 691488. Its totient is φ = 93760.

The previous prime is 288803. The next prime is 288817. The reversal of 288804 is 408882.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (288803) 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, 199 + ... + 785.

It is an arithmetic number, because the mean of its divisors is an integer number (28812).

2²⁸⁸⁸⁰⁴ is an apocalyptic number.

It is an amenable number.

288804 is an abundant number, since it is smaller than the sum of its proper divisors (402684).

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

288804 is a wasteful number, since it uses less digits than its factorization.

288804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 288804 is about 537.4048753035. The cubic root of 288804 is about 66.0999404163.

The spelling of 288804 in words is "two hundred eighty-eight thousand, eight hundred four".