5084952444 has 576 divisors, whose sum is σ = 17315020800. Its totient is φ = 1273708800.

The previous prime is 5084952443. The next prime is 5084952449. The reversal of 5084952444 is 4442594805.

It is a happy number.

5084952444 is a `hidden beast` number, since 5 + 0 + 84 + 9 + 524 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5084952444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5084952443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 118254687 + ... + 118254729.

It is an arithmetic number, because the mean of its divisors is an integer number (30060800).

Almost surely, 2^5084952444 is an apocalyptic number.

5084952444 is a gapful number since it is divisible by the number (54) 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 5084952444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8657510400).

5084952444 is an abundant number, since it is smaller than the sum of its proper divisors (12230068356).

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

5084952444 is a wasteful number, since it uses less digits than its factorization.

5084952444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 5084952444 is about 71308.8524939225. The cubic root of 5084952444 is about 1719.6060531886.

The spelling of 5084952444 in words is "five billion, eighty-four million, nine hundred fifty-two thousand, four hundred forty-four".