220454344400 has 120 divisors (see below), whose sum is σ = 535848333720. Its totient is φ = 87150919680.

The previous prime is 220454344399. The next prime is 220454344433. The reversal of 220454344400 is 4443454022.

It can be written as a sum of positive squares in 12 ways, for example, as 50756485264 + 169697859136 = 225292^2 + 411944^2 .

It is a super-2 number, since 2×220454344400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30920036 + ... + 30927164.

It is an arithmetic number, because the mean of its divisors is an integer number (4465402781).

Almost surely, 2^220454344400 is an apocalyptic number.

220454344400 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 220454344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267924166860).

220454344400 is an abundant number, since it is smaller than the sum of its proper divisors (315393989320).

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

220454344400 is a wasteful number, since it uses less digits than its factorization.

220454344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8041 (or 8030 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 32.

Adding to 220454344400 its reverse (4443454022), we get a palindrome (224897798422).

The spelling of 220454344400 in words is "two hundred twenty billion, four hundred fifty-four million, three hundred forty-four thousand, four hundred".