422403304224 has 192 divisors, whose sum is σ = 1230277289472. Its totient is φ = 125832345600.

The previous prime is 422403304177. The next prime is 422403304259.

422403304224 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 422403304191 and 422403304200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14787684 + ... + 14816220.

It is an arithmetic number, because the mean of its divisors is an integer number (6407694216).

Almost surely, 2^422403304224 is an apocalyptic number.

422403304224 is a gapful number since it is divisible by the number (44) 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 422403304224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615138644736).

422403304224 is an abundant number, since it is smaller than the sum of its proper divisors (807873985248).

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

422403304224 is a wasteful number, since it uses less digits than its factorization.

422403304224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28799 (or 28791 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 422403 and 304224, that added together give a palindrome (726627).

The spelling of 422403304224 in words is "four hundred twenty-two billion, four hundred three million, three hundred four thousand, two hundred twenty-four".