20004400 has 60 divisors (see below), whose sum is σ = 51770992. Its totient is φ = 7384320.

The previous prime is 20004367. The next prime is 20004419. The reversal of 20004400 is 440002.

It is a Harshad number since it is a multiple of its sum of digits (10).

20004400 is a modest number, since divided by 4400 gives 2000 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3277 + ... + 7123.

Almost surely, 2^20004400 is an apocalyptic number.

20004400 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 20004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25885496).

20004400 is an abundant number, since it is smaller than the sum of its proper divisors (31766592).

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

20004400 is a wasteful number, since it uses less digits than its factorization.

20004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3878 (or 3867 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 20004400 is about 4472.6278629012. The cubic root of 20004400 is about 271.4616659291.

Adding to 20004400 its reverse (440002), we get a palindrome (20444402).

It can be divided in two parts, 2000 and 4400, that added together give a square (6400 = 80²).

The spelling of 20004400 in words is "twenty million, four thousand, four hundred".