249996816 has 60 divisors (see below), whose sum is σ = 706612140. Its totient is φ = 82502400.

The previous prime is 249996811. The next prime is 249996847. The reversal of 249996816 is 618699942.

It can be written as a sum of positive squares in 2 ways, for example, as 237036816 + 12960000 = 15396^2 + 3600^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249996811) 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 11 ways as a sum of consecutive naturals, for example, 5950 + ... + 23138.

It is an arithmetic number, because the mean of its divisors is an integer number (11776869).

Almost surely, 2^249996816 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 249996816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353306070).

249996816 is an abundant number, since it is smaller than the sum of its proper divisors (456615324).

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

249996816 is a wasteful number, since it uses less digits than its factorization.

249996816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17304 (or 17295 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 249996816 is about 15811.2876136006. The cubic root of 249996816 is about 629.9578505437.

The spelling of 249996816 in words is "two hundred forty-nine million, nine hundred ninety-six thousand, eight hundred sixteen".