249944272 has 40 divisors (see below), whose sum is σ = 502858440. Its totient is φ = 120207360.

The previous prime is 249944257. The next prime is 249944273. The reversal of 249944272 is 272449942.

It can be written as a sum of positive squares in 4 ways, for example, as 7706176 + 242238096 = 2776^2 + 15564^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249944273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144372 + ... + 146092.

It is an arithmetic number, because the mean of its divisors is an integer number (12571461).

Almost surely, 2^249944272 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 249944272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251429220).

249944272 is an abundant number, since it is smaller than the sum of its proper divisors (252914168).

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

249944272 is a wasteful number, since it uses less digits than its factorization.

249944272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2065 counting only the distinct ones).

The product of its digits is 290304, while the sum is 43.

The square root of 249944272 is about 15809.6259285285. The cubic root of 249944272 is about 629.9137128821.

The spelling of 249944272 in words is "two hundred forty-nine million, nine hundred forty-four thousand, two hundred seventy-two".