20412800 has 48 divisors (see below), whose sum is σ = 50433900. Its totient is φ = 8163840.

The previous prime is 20412797. The next prime is 20412811. The reversal of 20412800 is 821402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11 + ... + 6389.

Almost surely, 2^20412800 is an apocalyptic number.

20412800 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 20412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25216950).

20412800 is an abundant number, since it is smaller than the sum of its proper divisors (30021100).

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

20412800 is an equidigital number, since it uses as much as digits as its factorization.

20412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6403 (or 6386 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 20412800 is about 4518.0526778691. The cubic root of 20412800 is about 273.2965777796.

It can be divided in two parts, 20412 and 800, that added together give a palindrome (21212).

The spelling of 20412800 in words is "twenty million, four hundred twelve thousand, eight hundred".