422464224 has 192 divisors, whose sum is σ = 1402845696. Its totient is φ = 108324864.

The previous prime is 422464193. The next prime is 422464241.

422464224 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 422464191 and 422464200.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 322579 + ... + 323885.

It is an arithmetic number, because the mean of its divisors is an integer number (7306488).

Almost surely, 2^422464224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422464224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701422848).

422464224 is an abundant number, since it is smaller than the sum of its proper divisors (980381472).

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

422464224 is a wasteful number, since it uses less digits than its factorization.

422464224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1369 counting only the distinct ones).

The product of its digits is 24576, while the sum is 30.

The square root of 422464224 is about 20553.9345138589. The cubic root of 422464224 is about 750.3490073444.

The spelling of 422464224 in words is "four hundred twenty-two million, four hundred sixty-four thousand, two hundred twenty-four".