220444400 has 60 divisors (see below), whose sum is σ = 577776264. Its totient is φ = 80160000.

The previous prime is 220444381. The next prime is 220444417. The reversal of 220444400 is 4444022.

220444400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20651 + ... + 29450.

Almost surely, 2^220444400 is an apocalyptic number.

220444400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220444400 is an abundant number, since it is smaller than the sum of its proper divisors (357331864).

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

220444400 is a wasteful number, since it uses less digits than its factorization.

220444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50130 (or 50119 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 220444400 is about 14847.3701375025. The cubic root of 220444400 is about 604.0872788805.

Adding to 220444400 its reverse (4444022), we get a palindrome (224888422).

It can be divided in two parts, 2 and 20444400, that added together give a palindrome (20444402).

The spelling of 220444400 in words is "two hundred twenty million, four hundred forty-four thousand, four hundred".