249752461 has 12 divisors (see below), whose sum is σ = 299902080. Its totient is φ = 207166680.

The previous prime is 249752453. The next prime is 249752509. The reversal of 249752461 is 164257942.

It is not a de Polignac number, because 249752461 - 2³ = 249752453 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249752401) by changing a digit.

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, 80691 + ... + 83728.

It is an arithmetic number, because the mean of its divisors is an integer number (24991840).

Almost surely, 2^249752461 is an apocalyptic number.

It is an amenable number.

249752461 is a deficient number, since it is larger than the sum of its proper divisors (50149619).

249752461 is a wasteful number, since it uses less digits than its factorization.

249752461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164464 (or 164457 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The square root of 249752461 is about 15803.5584916815. The cubic root of 249752461 is about 629.7525365542.

The spelling of 249752461 in words is "two hundred forty-nine million, seven hundred fifty-two thousand, four hundred sixty-one".