422404224 has 96 divisors (see below), whose sum is σ = 1233420720. Its totient is φ = 127987200.

The previous prime is 422404183. The next prime is 422404237.

422404224 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 422404194 and 422404203.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41919 + ... + 51009.

Almost surely, 2^422404224 is an apocalyptic number.

422404224 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 422404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616710360).

422404224 is an abundant number, since it is smaller than the sum of its proper divisors (811016496).

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

422404224 is a wasteful number, since it uses less digits than its factorization.

422404224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9130 (or 9107 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 422404224 is about 20552.4748874679. The cubic root of 422404224 is about 750.3134831750.

It can be divided in two parts, 42240 and 4224, that added together give a palindrome (46464).

The spelling of 422404224 in words is "four hundred twenty-two million, four hundred four thousand, two hundred twenty-four".