249055800 has 192 divisors, whose sum is σ = 929107200. Its totient is φ = 53913600.

The previous prime is 249055789. The next prime is 249055801. The reversal of 249055800 is 8550942.

It is a super-3 number, since 3×249055800³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249055801) 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 47 ways as a sum of consecutive naturals, for example, 78240 + ... + 81360.

It is an arithmetic number, because the mean of its divisors is an integer number (4839100).

Almost surely, 2^249055800 is an apocalyptic number.

249055800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249055800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464553600).

249055800 is an abundant number, since it is smaller than the sum of its proper divisors (680051400).

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

249055800 is a wasteful number, since it uses less digits than its factorization.

249055800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3166 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 249055800 is about 15781.5018296739. The cubic root of 249055800 is about 629.1664461110.

The spelling of 249055800 in words is "two hundred forty-nine million, fifty-five thousand, eight hundred".