249272766 has 24 divisors (see below), whose sum is σ = 540441720. Its totient is φ = 83036976.

The previous prime is 249272753. The next prime is 249272791. The reversal of 249272766 is 667272942.

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 Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32005 + ... + 39023.

It is an arithmetic number, because the mean of its divisors is an integer number (22518405).

Almost surely, 2^249272766 is an apocalyptic number.

249272766 is an abundant number, since it is smaller than the sum of its proper divisors (291168954).

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

249272766 is a wasteful number, since it uses less digits than its factorization.

249272766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9000 (or 8997 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 249272766 is about 15788.3743938380. The cubic root of 249272766 is about 629.3490934087.

The spelling of 249272766 in words is "two hundred forty-nine million, two hundred seventy-two thousand, seven hundred sixty-six".