4482508800 has 576 divisors, whose sum is σ = 18523814400. Its totient is φ = 928972800.

The previous prime is 4482508787. The next prime is 4482508831. The reversal of 4482508800 is 88052844.

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 47 ways as a sum of consecutive naturals, for example, 11827011 + ... + 11827389.

It is an arithmetic number, because the mean of its divisors is an integer number (32159400).

Almost surely, 2^4482508800 is an apocalyptic number.

4482508800 is a gapful number since it is divisible by the number (40) 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 4482508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9261907200).

4482508800 is an abundant number, since it is smaller than the sum of its proper divisors (14041305600).

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

4482508800 is a wasteful number, since it uses less digits than its factorization.

4482508800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 4482508800 is about 66951.5406842890. The cubic root of 4482508800 is about 1648.8217851354.

The spelling of 4482508800 in words is "four billion, four hundred eighty-two million, five hundred eight thousand, eight hundred".