422484484224 has 288 divisors, whose sum is σ = 1250371337040. Its totient is φ = 125350133760.

The previous prime is 422484484217. The next prime is 422484484231.

422484484224 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (422484484217) and next prime (422484484231).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3083828284 + ... + 3083828420.

Almost surely, 2^422484484224 is an apocalyptic number.

422484484224 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 422484484224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625185668520).

422484484224 is an abundant number, since it is smaller than the sum of its proper divisors (827886852816).

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

422484484224 is an equidigital number, since it uses as much as digits as its factorization.

422484484224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 226 counting only the distinct ones).

The product of its digits is 4194304, while the sum is 48.

It can be divided in two parts, 4224 and 84484224, that added together give a palindrome (84488448).

The spelling of 422484484224 in words is "four hundred twenty-two billion, four hundred eighty-four million, four hundred eighty-four thousand, two hundred twenty-four".