20422400 has 54 divisors (see below), whose sum is σ = 50564472. Its totient is φ = 8166400.

The previous prime is 20422357. The next prime is 20422421. The reversal of 20422400 is 422402.

It is a happy number.

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, 4805 + ... + 7995.

Almost surely, 2^20422400 is an apocalyptic number.

20422400 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 20422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25282236).

20422400 is an abundant number, since it is smaller than the sum of its proper divisors (30142072).

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

20422400 is an equidigital number, since it uses as much as digits as its factorization.

20422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3217 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 20422400 is about 4519.1149575996. The cubic root of 20422400 is about 273.3394142345.

Adding to 20422400 its reverse (422402), we get a palindrome (20844802).

The spelling of 20422400 in words is "twenty million, four hundred twenty-two thousand, four hundred".