249220800 has 252 divisors, whose sum is σ = 920029656. Its totient is φ = 66355200.

The previous prime is 249220793. The next prime is 249220813. The reversal of 249220800 is 8022942.

It is a super-2 number, since 2×249220800² = 124222014305280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 388480 + ... + 389120.

Almost surely, 2^249220800 is an apocalyptic number.

249220800 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 249220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460014828).

249220800 is an abundant number, since it is smaller than the sum of its proper divisors (670808856).

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

249220800 is an equidigital number, since it uses as much as digits as its factorization.

249220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 249220800 is about 15786.7286034821. The cubic root of 249220800 is about 629.3053568112.

The spelling of 249220800 in words is "two hundred forty-nine million, two hundred twenty thousand, eight hundred".