249110656 has 64 divisors (see below), whose sum is σ = 528768000. Its totient is φ = 116494336.

The previous prime is 249110599. The next prime is 249110663. The reversal of 249110656 is 656011942.

249110656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×249110656² = 124112237865500672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 519825 + ... + 520303.

It is an arithmetic number, because the mean of its divisors is an integer number (8262000).

Almost surely, 2^249110656 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 249110656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264384000).

249110656 is an abundant number, since it is smaller than the sum of its proper divisors (279657344).

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

249110656 is a wasteful number, since it uses less digits than its factorization.

249110656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 249110656 is about 15783.2397181314. The cubic root of 249110656 is about 629.2126352527.

The spelling of 249110656 in words is "two hundred forty-nine million, one hundred ten thousand, six hundred fifty-six".