249456768 has 128 divisors (see below), whose sum is σ = 733665600. Its totient is φ = 74465280.

The previous prime is 249456763. The next prime is 249456791. The reversal of 249456768 is 867654942.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 249456768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249456761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307948 + ... + 308756.

Almost surely, 2^249456768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249456768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366832800).

249456768 is an abundant number, since it is smaller than the sum of its proper divisors (484208832).

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

249456768 is a wasteful number, since it uses less digits than its factorization.

249456768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 898 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The square root of 249456768 is about 15794.2004545973. The cubic root of 249456768 is about 629.5039077676.

It can be divided in two parts, 24945 and 6768, that added together give a palindrome (31713).

The spelling of 249456768 in words is "two hundred forty-nine million, four hundred fifty-six thousand, seven hundred sixty-eight".