20441200 has 60 divisors (see below), whose sum is σ = 52901128. Its totient is φ = 7545600.

The previous prime is 20441177. The next prime is 20441203. The reversal of 20441200 is 214402.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20441203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3235 + ... + 7165.

Almost surely, 2^20441200 is an apocalyptic number.

20441200 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 20441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26450564).

20441200 is an abundant number, since it is smaller than the sum of its proper divisors (32459928).

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

20441200 is a wasteful number, since it uses less digits than its factorization.

20441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3962 (or 3951 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 20441200 is about 4521.1945324217. The cubic root of 20441200 is about 273.4232634220.

Adding to 20441200 its reverse (214402), we get a palindrome (20655602).

The spelling of 20441200 in words is "twenty million, four hundred forty-one thousand, two hundred".