220544400 has 240 divisors, whose sum is σ = 788788800. Its totient is φ = 52346880.

The previous prime is 220544339. The next prime is 220544411. The reversal of 220544400 is 4445022.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 387316 + ... + 387884.

It is an arithmetic number, because the mean of its divisors is an integer number (3286620).

Almost surely, 2^220544400 is an apocalyptic number.

220544400 is a gapful number since it is divisible by the number (20) 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 220544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394394400).

220544400 is an abundant number, since it is smaller than the sum of its proper divisors (568244400).

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

220544400 is a wasteful number, since it uses less digits than its factorization.

220544400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 220544400 is about 14850.7373554312. The cubic root of 220544400 is about 604.1786089329.

Adding to 220544400 its reverse (4445022), we get a palindrome (224989422).

The spelling of 220544400 in words is "two hundred twenty million, five hundred forty-four thousand, four hundred".