422646224 has 120 divisors (see below), whose sum is σ = 1108262400. Its totient is φ = 151937280.

The previous prime is 422646139. The next prime is 422646239.

422646224 = 82² + 83² + ... + 1082².

422646224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×422646224² = 357259661322916352, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 174977 + ... + 177375.

It is an arithmetic number, because the mean of its divisors is an integer number (9235520).

Almost surely, 2^422646224 is an apocalyptic number.

422646224 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 422646224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554131200).

422646224 is an abundant number, since it is smaller than the sum of its proper divisors (685616176).

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

422646224 is a wasteful number, since it uses less digits than its factorization.

422646224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2432 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

The square root of 422646224 is about 20558.3614133033. The cubic root of 422646224 is about 750.4567434204.

It can be divided in two parts, 422 and 646224, that added together give a palindrome (646646).

The spelling of 422646224 in words is "four hundred twenty-two million, six hundred forty-six thousand, two hundred twenty-four".