249940800 has 252 divisors, whose sum is σ = 941525676. Its totient is φ = 62668800.

The previous prime is 249940799. The next prime is 249940813. The reversal of 249940800 is 8049942.

It is a happy number.

249940800 is a `hidden beast` number, since 249 + 9 + 408 + 0 + 0 = 666.

249940800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 553536 + 249387264 = 744^2 + 15792^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 244290 + ... + 245310.

It is an arithmetic number, because the mean of its divisors is an integer number (3736213).

Almost surely, 2^249940800 is an apocalyptic number.

249940800 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 249940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470762838).

249940800 is an abundant number, since it is smaller than the sum of its proper divisors (691584876).

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

249940800 is a wasteful number, since it uses less digits than its factorization.

249940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 249940800 is about 15809.5161216275. The cubic root of 249940800 is about 629.9107961379.

The spelling of 249940800 in words is "two hundred forty-nine million, nine hundred forty thousand, eight hundred".