249008256 has 320 divisors, whose sum is σ = 876775680. Its totient is φ = 68677632.

The previous prime is 249008219. The next prime is 249008273. The reversal of 249008256 is 652800942.

It is a happy number.

It is a super-2 number, since 2×249008256² = 124010223112323072, which contains 22 as substring.

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 249008256.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3411036 + ... + 3411108.

It is an arithmetic number, because the mean of its divisors is an integer number (2739924).

Almost surely, 2^249008256 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 249008256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438387840).

249008256 is an abundant number, since it is smaller than the sum of its proper divisors (627767424).

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

249008256 is an equidigital number, since it uses as much as digits as its factorization.

249008256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 249008256 is about 15779.9954372617. The cubic root of 249008256 is about 629.1264082384.

The spelling of 249008256 in words is "two hundred forty-nine million, eight thousand, two hundred fifty-six".