249506775 has 144 divisors (see below), whose sum is σ = 539697600. Its totient is φ = 110073600.

The previous prime is 249506767. The next prime is 249506791. The reversal of 249506775 is 577605942.

It is not a de Polignac number, because 249506775 - 2³ = 249506767 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 249506775.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4090245 + ... + 4090305.

It is an arithmetic number, because the mean of its divisors is an integer number (3747900).

Almost surely, 2^249506775 is an apocalyptic number.

249506775 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

249506775 is an abundant number, since it is smaller than the sum of its proper divisors (290190825).

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

249506775 is a wasteful number, since it uses less digits than its factorization.

249506775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 249506775 is about 15795.7834563532. The cubic root of 249506775 is about 629.5459691622.

The spelling of 249506775 in words is "two hundred forty-nine million, five hundred six thousand, seven hundred seventy-five".