441223120 has 80 divisors (see below), whose sum is σ = 1108179072. Its totient is φ = 162408960.

The previous prime is 441223009. The next prime is 441223141. The reversal of 441223120 is 21322144.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 593469 + ... + 594211.

Almost surely, 2^441223120 is an apocalyptic number.

441223120 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 441223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554089536).

441223120 is an abundant number, since it is smaller than the sum of its proper divisors (666955952).

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

441223120 is a wasteful number, since it uses less digits than its factorization.

441223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 441223120 is about 21005.3117091844. The cubic root of 441223120 is about 761.2946078765.

Adding to 441223120 its reverse (21322144), we get a palindrome (462545264).

The spelling of 441223120 in words is "four hundred forty-one million, two hundred twenty-three thousand, one hundred twenty".