249042584 has 32 divisors (see below), whose sum is σ = 546078720. Its totient is φ = 104249376.

The previous prime is 249042583. The next prime is 249042587. The reversal of 249042584 is 485240942.

It is a happy number.

249042584 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249042583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49304 + ... + 54119.

It is an arithmetic number, because the mean of its divisors is an integer number (17064960).

Almost surely, 2^249042584 is an apocalyptic number.

It is an amenable number.

249042584 is an abundant number, since it is smaller than the sum of its proper divisors (297036136).

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

249042584 is a wasteful number, since it uses less digits than its factorization.

249042584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103479 (or 103475 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 249042584 is about 15781.0831060482. The cubic root of 249042584 is about 629.1553171313.

The spelling of 249042584 in words is "two hundred forty-nine million, forty-two thousand, five hundred eighty-four".