422400320 has 56 divisors (see below), whose sum is σ = 1011253248. Its totient is φ = 168051200.

The previous prime is 422400311. The next prime is 422400323. The reversal of 422400320 is 23004224.

It is a super-2 number, since 2×422400320² = 356844060672204800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422400323) 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 7 ways as a sum of consecutive naturals, for example, 57665 + ... + 64575.

Almost surely, 2^422400320 is an apocalyptic number.

422400320 is a gapful number since it is divisible by the number (40) 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 422400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505626624).

422400320 is an abundant number, since it is smaller than the sum of its proper divisors (588852928).

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

422400320 is a wasteful number, since it uses less digits than its factorization.

422400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7119 (or 7109 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 422400320 is about 20552.3799108522. The cubic root of 422400320 is about 750.3111716192.

Adding to 422400320 its reverse (23004224), we get a palindrome (445404544).

The spelling of 422400320 in words is "four hundred twenty-two million, four hundred thousand, three hundred twenty".