4484097792 has 360 divisors, whose sum is σ = 14103403776. Its totient is φ = 1415522304.

The previous prime is 4484097773. The next prime is 4484097829. The reversal of 4484097792 is 2977904844.

It is a happy number.

4484097792 is a `hidden beast` number, since 4 + 484 + 0 + 9 + 77 + 92 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 41907403 + ... + 41907509.

Almost surely, 2^4484097792 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 4484097792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7051701888).

4484097792 is an abundant number, since it is smaller than the sum of its proper divisors (9619305984).

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

4484097792 is a wasteful number, since it uses less digits than its factorization.

4484097792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 4484097792 is about 66963.4063649692. The cubic root of 4484097792 is about 1649.0165908587.

The spelling of 4484097792 in words is "four billion, four hundred eighty-four million, ninety-seven thousand, seven hundred ninety-two".