288921249 has 40 divisors (see below), whose sum is σ = 441330560. Its totient is φ = 188326944.

The previous prime is 288921211. The next prime is 288921251. The reversal of 288921249 is 942129882.

It is a happy number.

It is not a de Polignac number, because 288921249 - 2⁷ = 288921121 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (288921299) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1042899 + ... + 1043175.

It is an arithmetic number, because the mean of its divisors is an integer number (11033264).

Almost surely, 2^288921249 is an apocalyptic number.

It is an amenable number.

288921249 is a deficient number, since it is larger than the sum of its proper divisors (152409311).

288921249 is a wasteful number, since it uses less digits than its factorization.

288921249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 522 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 288921249 is about 16997.6836363076. The cubic root of 288921249 is about 661.0888431755.

The spelling of 288921249 in words is "two hundred eighty-eight million, nine hundred twenty-one thousand, two hundred forty-nine".