441224420 has 144 divisors (see below), whose sum is σ = 1182444480. Its totient is φ = 137039616.

The previous prime is 441224389. The next prime is 441224437. The reversal of 441224420 is 24422144.

441224420 = T₂₁₁ + T₂₁₂ + ... + T₁₃₈₄.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 751367 + ... + 751953.

It is an arithmetic number, because the mean of its divisors is an integer number (8211420).

Almost surely, 2^441224420 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 441224420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591222240).

441224420 is an abundant number, since it is smaller than the sum of its proper divisors (741220060).

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

441224420 is a wasteful number, since it uses less digits than its factorization.

441224420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 441224420 is about 21005.3426537155. The cubic root of 441224420 is about 761.2953555572.

Adding to 441224420 its reverse (24422144), we get a palindrome (465646564).

The spelling of 441224420 in words is "four hundred forty-one million, two hundred twenty-four thousand, four hundred twenty".