288461985 has 64 divisors (see below), whose sum is σ = 554964480. Its totient is φ = 125153280.

The previous prime is 288461981. The next prime is 288461989. The reversal of 288461985 is 589164882.

It is an interprime number because it is at equal distance from previous prime (288461981) and next prime (288461989).

It is not a de Polignac number, because 288461985 - 2² = 288461981 is a prime.

It is not an unprimeable number, because it can be changed into a prime (288461981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184969 + ... + 186521.

It is an arithmetic number, because the mean of its divisors is an integer number (8671320).

Almost surely, 2^288461985 is an apocalyptic number.

It is an amenable number.

288461985 is a deficient number, since it is larger than the sum of its proper divisors (266502495).

288461985 is a wasteful number, since it uses less digits than its factorization.

288461985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658.

The product of its digits is 1105920, while the sum is 51.

The square root of 288461985 is about 16984.1686579002. The cubic root of 288461985 is about 660.7383724469.

The spelling of 288461985 in words is "two hundred eighty-eight million, four hundred sixty-one thousand, nine hundred eighty-five".