249993216 has 240 divisors, whose sum is σ = 820539720. Its totient is φ = 75202560.

The previous prime is 249993199. The next prime is 249993221. The reversal of 249993216 is 612399942.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1824700 + ... + 1824836.

Almost surely, 2^249993216 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 249993216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410269860).

249993216 is an abundant number, since it is smaller than the sum of its proper divisors (570546504).

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

249993216 is a wasteful number, since it uses less digits than its factorization.

249993216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 153 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 249993216 is about 15811.1737704700. The cubic root of 249993216 is about 629.9548266930.

The spelling of 249993216 in words is "two hundred forty-nine million, nine hundred ninety-three thousand, two hundred sixteen".