4224580800 has 672 divisors, whose sum is σ = 16327526400. Its totient is φ = 946176000.

The previous prime is 4224580799. The next prime is 4224580819. The reversal of 4224580800 is 80854224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 47467156 + ... + 47467244.

Almost surely, 2^4224580800 is an apocalyptic number.

4224580800 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 4224580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8163763200).

4224580800 is an abundant number, since it is smaller than the sum of its proper divisors (12102945600).

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

4224580800 is a wasteful number, since it uses less digits than its factorization.

4224580800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 4224580800 is about 64996.7753046257. The cubic root of 4224580800 is about 1616.5700942537.

The spelling of 4224580800 in words is "four billion, two hundred twenty-four million, five hundred eighty thousand, eight hundred".