249993144 has 48 divisors (see below), whose sum is σ = 679512600. Its totient is φ = 83029824.

The previous prime is 249993119. The next prime is 249993157. The reversal of 249993144 is 441399942.

249993144 is a `hidden beast` number, since 249 + 99 + 314 + 4 = 666.

249993144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 249993144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14242 + ... + 26510.

Almost surely, 2^249993144 is an apocalyptic number.

249993144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

249993144 is an abundant number, since it is smaller than the sum of its proper divisors (429519456).

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

249993144 is a wasteful number, since it uses less digits than its factorization.

249993144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12564 (or 12557 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 249993144 is about 15811.1714935991. The cubic root of 249993144 is about 629.9547662156.

The spelling of 249993144 in words is "two hundred forty-nine million, nine hundred ninety-three thousand, one hundred forty-four".