20415200 has 108 divisors (see below), whose sum is σ = 54324648. Its totient is φ = 7488000.

The previous prime is 20415173. The next prime is 20415203. The reversal of 20415200 is 251402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20415203) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 135125 + ... + 135275.

It is an arithmetic number, because the mean of its divisors is an integer number (503006).

Almost surely, 2^20415200 is an apocalyptic number.

20415200 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 20415200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27162324).

20415200 is an abundant number, since it is smaller than the sum of its proper divisors (33909448).

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

20415200 is a wasteful number, since it uses less digits than its factorization.

20415200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 20415200 is about 4518.3182712155. The cubic root of 20415200 is about 273.3072881522.

Adding to 20415200 its reverse (251402), we get a palindrome (20666602).

The spelling of 20415200 in words is "twenty million, four hundred fifteen thousand, two hundred".