4505824800 has 288 divisors, whose sum is σ = 16370827200. Its totient is φ = 1196052480.

The previous prime is 4505824793. The next prime is 4505824849. The reversal of 4505824800 is 84285054.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7278891 + ... + 7279509.

It is an arithmetic number, because the mean of its divisors is an integer number (56843150).

Almost surely, 2^4505824800 is an apocalyptic number.

4505824800 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 4505824800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8185413600).

4505824800 is an abundant number, since it is smaller than the sum of its proper divisors (11865002400).

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

4505824800 is a wasteful number, since it uses less digits than its factorization.

4505824800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 4505824800 is about 67125.4407806757. The cubic root of 4505824800 is about 1651.6756530908.

The spelling of 4505824800 in words is "four billion, five hundred five million, eight hundred twenty-four thousand, eight hundred".