249533568 has 128 divisors (see below), whose sum is σ = 744681600. Its totient is φ = 82252800.

The previous prime is 249533563. The next prime is 249533573. The reversal of 249533568 is 865335942.

249533568 is a `hidden beast` number, since 249 + 53 + 356 + 8 = 666.

249533568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (249533563) and next prime (249533573).

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

It is not an unprimeable number, because it can be changed into a prime (249533561) 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, 355618 + ... + 356318.

It is an arithmetic number, because the mean of its divisors is an integer number (5817825).

Almost surely, 2^249533568 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 249533568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372340800).

249533568 is an abundant number, since it is smaller than the sum of its proper divisors (495148032).

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

249533568 is a wasteful number, since it uses less digits than its factorization.

249533568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 809 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 249533568 is about 15796.6315396669. The cubic root of 249533568 is about 629.5685027139.

It can be divided in two parts, 2495 and 33568, that added together give a palindrome (36063).

The spelling of 249533568 in words is "two hundred forty-nine million, five hundred thirty-three thousand, five hundred sixty-eight".