249753249 has 12 divisors (see below), whose sum is σ = 373194900. Its totient is φ = 160760544.

The previous prime is 249753223. The next prime is 249753269. The reversal of 249753249 is 942357942.

249753249 is a `hidden beast` number, since 24 + 97 + 532 + 4 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57653649 + 192099600 = 7593^2 + 13860^2 .

It is not a de Polignac number, because 249753249 - 2⁷ = 249753121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (249753209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 478194 + ... + 478715.

It is an arithmetic number, because the mean of its divisors is an integer number (31099575).

Almost surely, 2^249753249 is an apocalyptic number.

249753249 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

249753249 is a deficient number, since it is larger than the sum of its proper divisors (123441651).

249753249 is a wasteful number, since it uses less digits than its factorization.

249753249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956944 (or 956941 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 249753249 is about 15803.5834227557. The cubic root of 249753249 is about 629.7531988693.

It can be divided in two parts, 24975 and 3249, that added together give a square (28224 = 168²).

The spelling of 249753249 in words is "two hundred forty-nine million, seven hundred fifty-three thousand, two hundred forty-nine".