249297768 has 24 divisors (see below), whose sum is σ = 675181650. Its totient is φ = 83099232.

The previous prime is 249297757. The next prime is 249297773. The reversal of 249297768 is 867792942.

249297768 is a `hidden beast` number, since 2 + 492 + 97 + 7 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 169052004 + 80245764 = 13002^2 + 8958^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 5 ways as a sum of consecutive naturals, for example, 1731163 + ... + 1731306.

Almost surely, 2^249297768 is an apocalyptic number.

It is an amenable number.

249297768 is an abundant number, since it is smaller than the sum of its proper divisors (425883882).

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

249297768 is a wasteful number, since it uses less digits than its factorization.

249297768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3462481 (or 3462474 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 249297768 is about 15789.1661591105. The cubic root of 249297768 is about 629.3701338941.

The spelling of 249297768 in words is "two hundred forty-nine million, two hundred ninety-seven thousand, seven hundred sixty-eight".