5244084800 has 84 divisors (see below), whose sum is σ = 12990918900. Its totient is φ = 2083461120.

The previous prime is 5244084793. The next prime is 5244084821. The reversal of 5244084800 is 84804425.

It can be written as a sum of positive squares in 6 ways, for example, as 407716864 + 4836367936 = 20192^2 + 69544^2 .

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 11 ways as a sum of consecutive naturals, for example, 227402 + ... + 249398.

Almost surely, 2^5244084800 is an apocalyptic number.

5244084800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5244084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6495459450).

5244084800 is an abundant number, since it is smaller than the sum of its proper divisors (7746834100).

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

5244084800 is a wasteful number, since it uses less digits than its factorization.

5244084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22168 (or 22153 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 35.

The square root of 5244084800 is about 72416.0534688269. The cubic root of 5244084800 is about 1737.3603345114.

The spelling of 5244084800 in words is "five billion, two hundred forty-four million, eighty-four thousand, eight hundred".