249680256 has 128 divisors (see below), whose sum is σ = 784339200. Its totient is φ = 68855808.

The previous prime is 249680239. The next prime is 249680287. The reversal of 249680256 is 652086942.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76351 + ... + 79553.

It is an arithmetic number, because the mean of its divisors is an integer number (6127650).

Almost surely, 2^249680256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249680256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392169600).

249680256 is an abundant number, since it is smaller than the sum of its proper divisors (534658944).

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

249680256 is a wasteful number, since it uses less digits than its factorization.

249680256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3256 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 249680256 is about 15801.2738726977. The cubic root of 249680256 is about 629.6918422378.

The spelling of 249680256 in words is "two hundred forty-nine million, six hundred eighty thousand, two hundred fifty-six".