249344656 has 80 divisors (see below), whose sum is σ = 567963648. Its totient is φ = 104860800.

The previous prime is 249344651. The next prime is 249344663. The reversal of 249344656 is 656443942.

It is a happy number.

249344656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (249344651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124495 + ... + 126481.

Almost surely, 2^249344656 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 249344656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283981824).

249344656 is an abundant number, since it is smaller than the sum of its proper divisors (318618992).

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

249344656 is a wasteful number, since it uses less digits than its factorization.

249344656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 2054 counting only the distinct ones).

The product of its digits is 622080, while the sum is 43.

The square root of 249344656 is about 15790.6509048867. The cubic root of 249344656 is about 629.4095887960.

It can be divided in two parts, 249344 and 656, that added together give a square (250000 = 500²).

The spelling of 249344656 in words is "two hundred forty-nine million, three hundred forty-four thousand, six hundred fifty-six".