4523212800 has 360 divisors, whose sum is σ = 16658742800. Its totient is φ = 1203240960.

The previous prime is 4523212747. The next prime is 4523212801. The reversal of 4523212800 is 82123254.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4523212801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11058996 + ... + 11059404.

Almost surely, 2^4523212800 is an apocalyptic number.

4523212800 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 4523212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8329371400).

4523212800 is an abundant number, since it is smaller than the sum of its proper divisors (12135530000).

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

4523212800 is an equidigital number, since it uses as much as digits as its factorization.

4523212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4523212800 is about 67254.8347704461. The cubic root of 4523212800 is about 1653.7975341256.

The spelling of 4523212800 in words is "four billion, five hundred twenty-three million, two hundred twelve thousand, eight hundred".