249754457 has 2 divisors, whose sum is σ = 249754458. Its totient is φ = 249754456.

The previous prime is 249754441. The next prime is 249754469. The reversal of 249754457 is 754457942.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 235039561 + 14714896 = 15331^2 + 3836^2 .

It is a cyclic number.

It is not a de Polignac number, because 249754457 - 2⁴ = 249754441 is a prime.

It is not a weakly prime, because it can be changed into another prime (249757457) 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 as a sum of consecutive naturals, namely, 124877228 + 124877229.

It is an arithmetic number, because the mean of its divisors is an integer number (124877229).

Almost surely, 2^249754457 is an apocalyptic number.

It is an amenable number.

249754457 is a deficient number, since it is larger than the sum of its proper divisors (1).

249754457 is an equidigital number, since it uses as much as digits as its factorization.

249754457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1411200, while the sum is 47.

The square root of 249754457 is about 15803.6216418896. The cubic root of 249754457 is about 629.7542141922.

The spelling of 249754457 in words is "two hundred forty-nine million, seven hundred fifty-four thousand, four hundred fifty-seven".