4205220 has 48 divisors (see below), whose sum is σ = 11901120. Its totient is φ = 1109376.

The previous prime is 4205219. The next prime is 4205233. The reversal of 4205220 is 225024.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4205220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6219 + ... + 6861.

It is an arithmetic number, because the mean of its divisors is an integer number (247940).

Almost surely, 2^4205220 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 4205220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5950560).

4205220 is an abundant number, since it is smaller than the sum of its proper divisors (7695900).

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

4205220 is a wasteful number, since it uses less digits than its factorization.

4205220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 4205220 is about 2050.6633073228. The cubic root of 4205220 is about 161.4096789738.

The spelling of 4205220 in words is "four million, two hundred five thousand, two hundred twenty".