249965568 has 88 divisors (see below), whose sum is σ = 740358960. Its totient is φ = 83312640.

The previous prime is 249965563. The next prime is 249965623. The reversal of 249965568 is 865569942.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (249965563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23128 + ... + 32168.

It is an arithmetic number, because the mean of its divisors is an integer number (8413170).

Almost surely, 2^249965568 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 249965568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370179480).

249965568 is an abundant number, since it is smaller than the sum of its proper divisors (490393392).

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

249965568 is an equidigital number, since it uses as much as digits as its factorization.

249965568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9070 (or 9046 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The square root of 249965568 is about 15810.2994279046. The cubic root of 249965568 is about 629.9316025519.

The spelling of 249965568 in words is "two hundred forty-nine million, nine hundred sixty-five thousand, five hundred sixty-eight".