20410200 has 288 divisors, whose sum is σ = 78343200. Its totient is φ = 4730880.

The previous prime is 20410189. The next prime is 20410213. The reversal of 20410200 is 201402.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 703786 + ... + 703814.

It is an arithmetic number, because the mean of its divisors is an integer number (272025).

Almost surely, 2^20410200 is an apocalyptic number.

20410200 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 20410200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39171600).

20410200 is an abundant number, since it is smaller than the sum of its proper divisors (57933000).

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

20410200 is a wasteful number, since it uses less digits than its factorization.

20410200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 20410200 is about 4517.7649341240. The cubic root of 20410200 is about 273.2849739285.

Adding to 20410200 its reverse (201402), we get a palindrome (20611602).

It can be divided in two parts, 204 and 10200, that added together give a square (10404 = 102²).

The spelling of 20410200 in words is "twenty million, four hundred ten thousand, two hundred".