249073056 has 96 divisors (see below), whose sum is σ = 735638400. Its totient is φ = 83001024.

The previous prime is 249073037. The next prime is 249073057. The reversal of 249073056 is 650370942.

It is a tau number, because it is divible by the number of its divisors (96).

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 249073056.

It is not an unprimeable number, because it can be changed into a prime (249073057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68205 + ... + 71763.

It is an arithmetic number, because the mean of its divisors is an integer number (7662900).

Almost surely, 2^249073056 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 249073056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367819200).

249073056 is an abundant number, since it is smaller than the sum of its proper divisors (486565344).

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

249073056 is an frugal number, since it uses more digits than its factorization.

249073056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 249073056 is about 15782.0485362326. The cubic root of 249073056 is about 629.1809765167.

The spelling of 249073056 in words is "two hundred forty-nine million, seventy-three thousand, fifty-six".