4204224 has 70 divisors (see below), whose sum is σ = 12478004. Its totient is φ = 1399680.

The previous prime is 4204223. The next prime is 4204237. The reversal of 4204224 is 4224024.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 4³ + 2⁷ + 0 + 4⁵ + 2⁹ + 2¹³ + 4¹¹ .

It is a junction number, because it is equal to n+sod(n) for n = 4204197 and 4204206.

It is not an unprimeable number, because it can be changed into a prime (4204223) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4779 + ... + 5589.

Almost surely, 2^4204224 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 4204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6239002).

4204224 is an abundant number, since it is smaller than the sum of its proper divisors (8273780).

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

4204224 is an equidigital number, since it uses as much as digits as its factorization.

4204224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4204224 is about 2050.4204446893. The cubic root of 4204224 is about 161.3969347547.

Adding to 4204224 its reverse (4224024), we get a palindrome (8428248).

The spelling of 4204224 in words is "four million, two hundred four thousand, two hundred twenty-four".