4517248800 has 288 divisors, whose sum is σ = 15591502080. Its totient is φ = 1133977600.

The previous prime is 4517248787. The next prime is 4517248807. The reversal of 4517248800 is 88427154.

It is a happy number.

It is a super-2 number, since 2×4517248800² = 40811073442202880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4517248807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2852809 + ... + 2854391.

It is an arithmetic number, because the mean of its divisors is an integer number (54137160).

Almost surely, 2^4517248800 is an apocalyptic number.

4517248800 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 4517248800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7795751040).

4517248800 is an abundant number, since it is smaller than the sum of its proper divisors (11074253280).

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

4517248800 is a wasteful number, since it uses less digits than its factorization.

4517248800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 4517248800 is about 67210.4813254599. The cubic root of 4517248800 is about 1653.0703528712.

The spelling of 4517248800 in words is "four billion, five hundred seventeen million, two hundred forty-eight thousand, eight hundred".