288444 has 36 divisors (see below), whose sum is σ = 742056. Its totient is φ = 86688.

The previous prime is 288433. The next prime is 288461. The reversal of 288444 is 444882.

288444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×288444² = 166399882272, which contains 22 as substring.

288444 is a modest number, since divided by 444 gives 288 as remainder.

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

288444 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, 6687 + ... + 6729.

2²⁸⁸⁴⁴⁴ 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 288444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371028).

288444 is an abundant number, since it is smaller than the sum of its proper divisors (453612).

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

288444 is a wasteful number, since it uses less digits than its factorization.

288444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 61 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

The square root of 288444 is about 537.0698278623. The cubic root of 288444 is about 66.0724640277.

The spelling of 288444 in words is "two hundred eighty-eight thousand, four hundred forty-four".