288441 has 12 divisors (see below), whose sum is σ = 432432. Its totient is φ = 192132.

The previous prime is 288433. The next prime is 288461. The reversal of 288441 is 144882.

It is not a de Polignac number, because 288441 - 2³ = 288433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (288461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 351 + ... + 836.

It is an arithmetic number, because the mean of its divisors is an integer number (36036).

2²⁸⁸⁴⁴¹ is an apocalyptic number.

It is an amenable number.

288441 is a deficient number, since it is larger than the sum of its proper divisors (143991).

288441 is an equidigital number, since it uses as much as digits as its factorization.

288441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1190 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 288441 is about 537.0670349221. The cubic root of 288441 is about 66.0722349618.

It can be divided in two parts, 288 and 441, that added together give a 6-th power (729 = 3⁶).

The spelling of 288441 in words is "two hundred eighty-eight thousand, four hundred forty-one".