4485812800 has 252 divisors, whose sum is σ = 13289500980. Its totient is φ = 1484206080.

The previous prime is 4485812791. The next prime is 4485812801. The reversal of 4485812800 is 82185844.

It can be written as a sum of positive squares in 6 ways, for example, as 345662464 + 4140150336 = 18592^2 + 64344^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4485812801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2272614 + ... + 2274586.

It is an arithmetic number, because the mean of its divisors is an integer number (52736115).

Almost surely, 2^4485812800 is an apocalyptic number.

4485812800 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 4485812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6644750490).

4485812800 is an abundant number, since it is smaller than the sum of its proper divisors (8803688180).

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

4485812800 is a wasteful number, since it uses less digits than its factorization.

4485812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 40.

The square root of 4485812800 is about 66976.2107020097. The cubic root of 4485812800 is about 1649.2267941375.

The spelling of 4485812800 in words is "four billion, four hundred eighty-five million, eight hundred twelve thousand, eight hundred".