249440256 has 192 divisors, whose sum is σ = 798033600. Its totient is φ = 76529664.

The previous prime is 249440179. The next prime is 249440299. The reversal of 249440256 is 652044942.

249440256 is a `hidden beast` number, since 249 + 4 + 402 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 249440256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718675 + ... + 719021.

It is an arithmetic number, because the mean of its divisors is an integer number (4156425).

Almost surely, 2^249440256 is an apocalyptic number.

249440256 is a gapful number since it is divisible by the number (26) 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 249440256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399016800).

249440256 is an abundant number, since it is smaller than the sum of its proper divisors (548593344).

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

249440256 is a wasteful number, since it uses less digits than its factorization.

249440256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 249440256 is about 15793.6777224306. The cubic root of 249440256 is about 629.4900181226.

The spelling of 249440256 in words is "two hundred forty-nine million, four hundred forty thousand, two hundred fifty-six".