4205838220 has 48 divisors (see below), whose sum is σ = 9102155328. Its totient is φ = 1631421440.

The previous prime is 4205838209. The next prime is 4205838277. The reversal of 4205838220 is 228385024.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121584 + ... + 152296.

It is an arithmetic number, because the mean of its divisors is an integer number (189628236).

Almost surely, 2^4205838220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4205838220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4551077664).

4205838220 is an abundant number, since it is smaller than the sum of its proper divisors (4896317108).

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

4205838220 is a wasteful number, since it uses less digits than its factorization.

4205838220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30930 (or 30928 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 4205838220 is about 64852.4341871606. The cubic root of 4205838220 is about 1614.1758833421.

The spelling of 4205838220 in words is "four billion, two hundred five million, eight hundred thirty-eight thousand, two hundred twenty".