288448 has 14 divisors (see below), whose sum is σ = 572516. Its totient is φ = 144192.

The previous prime is 288433. The next prime is 288461. The reversal of 288448 is 844882.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2190 + ... + 2317.

It is an arithmetic number, because the mean of its divisors is an integer number (40894).

2²⁸⁸⁴⁴⁸ is an apocalyptic number.

It is an amenable number.

288448 is a deficient number, since it is larger than the sum of its proper divisors (284068).

288448 is an equidigital number, since it uses as much as digits as its factorization.

288448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4519 (or 4509 counting only the distinct ones).

The product of its digits is 16384, while the sum is 34.

The square root of 288448 is about 537.0735517599. The cubic root of 288448 is about 66.0727694465.

The spelling of 288448 in words is "two hundred eighty-eight thousand, four hundred forty-eight".