4220584200 has 288 divisors, whose sum is σ = 16329044160. Its totient is φ = 956966400.

The previous prime is 4220584183. The next prime is 4220584211. The reversal of 4220584200 is 24850224.

It is a happy number.

4220584200 is a `hidden beast` number, since 42 + 20 + 584 + 20 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1649322 + ... + 1651878.

It is an arithmetic number, because the mean of its divisors is an integer number (56698070).

Almost surely, 2^4220584200 is an apocalyptic number.

4220584200 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 4220584200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8164522080).

4220584200 is an abundant number, since it is smaller than the sum of its proper divisors (12108459960).

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

4220584200 is a wasteful number, since it uses less digits than its factorization.

4220584200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2717 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4220584200 is about 64966.0234276348. The cubic root of 4220584200 is about 1616.0601562827.

The spelling of 4220584200 in words is "four billion, two hundred twenty million, five hundred eighty-four thousand, two hundred".