4248244224 has 312 divisors, whose sum is σ = 14249980992. Its totient is φ = 1194393600.

The previous prime is 4248244193. The next prime is 4248244229. The reversal of 4248244224 is 4224428424.

4248244224 is a `hidden beast` number, since 424 + 8 + 2 + 4 + 4 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (4248244229) 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 23 ways as a sum of consecutive naturals, for example, 26062767 + ... + 26062929.

It is an arithmetic number, because the mean of its divisors is an integer number (45673016).

Almost surely, 2^4248244224 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 4248244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7124990496).

4248244224 is an abundant number, since it is smaller than the sum of its proper divisors (10001736768).

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

4248244224 is a wasteful number, since it uses less digits than its factorization.

4248244224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 276 counting only the distinct ones).

The product of its digits is 131072, while the sum is 36.

The square root of 4248244224 is about 65178.5564737361. The cubic root of 4248244224 is about 1619.5828098106.

The spelling of 4248244224 in words is "four billion, two hundred forty-eight million, two hundred forty-four thousand, two hundred twenty-four".