249068800 has 54 divisors (see below), whose sum is σ = 616500038. Its totient is φ = 99624960.

The previous prime is 249068797. The next prime is 249068801. The reversal of 249068800 is 8860942.

It can be written as a sum of positive squares in 3 ways, for example, as 186624 + 248882176 = 432^2 + 15776^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 249068800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249068801) 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 5 ways as a sum of consecutive naturals, for example, 13059 + ... + 25858.

Almost surely, 2^249068800 is an apocalyptic number.

249068800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249068800 is an abundant number, since it is smaller than the sum of its proper divisors (367431238).

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

249068800 is an equidigital number, since it uses as much as digits as its factorization.

249068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38943 (or 38924 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 249068800 is about 15781.9136989150. The cubic root of 249068800 is about 629.1773928165.

The spelling of 249068800 in words is "two hundred forty-nine million, sixty-eight thousand, eight hundred".