4482388800 has 672 divisors, whose sum is σ = 17738547200. Its totient is φ = 1097349120.

The previous prime is 4482388789. The next prime is 4482388847. The reversal of 4482388800 is 88832844.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35294337 + ... + 35294463.

Almost surely, 2^4482388800 is an apocalyptic number.

4482388800 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 4482388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8869273600).

4482388800 is an abundant number, since it is smaller than the sum of its proper divisors (13256158400).

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

4482388800 is a wasteful number, since it uses less digits than its factorization.

4482388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 4482388800 is about 66950.6445077267. The cubic root of 4482388800 is about 1648.8070716206.

The spelling of 4482388800 in words is "four billion, four hundred eighty-two million, three hundred eighty-eight thousand, eight hundred".