20439200 has 72 divisors (see below), whose sum is σ = 51676380. Its totient is φ = 7884800.

The previous prime is 20439191. The next prime is 20439257. The reversal of 20439200 is 293402.

It can be written as a sum of positive squares in 6 ways, for example, as 4343056 + 16096144 = 2084^2 + 4012^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 22760 + ... + 23640.

Almost surely, 2^20439200 is an apocalyptic number.

20439200 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 20439200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25838190).

20439200 is an abundant number, since it is smaller than the sum of its proper divisors (31237180).

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

20439200 is a wasteful number, since it uses less digits than its factorization.

20439200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 20439200 is about 4520.9733465262. The cubic root of 20439200 is about 273.4143457401.

The spelling of 20439200 in words is "twenty million, four hundred thirty-nine thousand, two hundred".