422441136 has 320 divisors, whose sum is σ = 1424908800. Its totient is φ = 118692864.

The previous prime is 422441119. The next prime is 422441137. The reversal of 422441136 is 631144224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (422441137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3947995 + ... + 3948101.

It is an arithmetic number, because the mean of its divisors is an integer number (4452840).

Almost surely, 2^422441136 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 422441136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712454400).

422441136 is an abundant number, since it is smaller than the sum of its proper divisors (1002467664).

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

422441136 is a wasteful number, since it uses less digits than its factorization.

422441136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 181 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 422441136 is about 20553.3728618930. The cubic root of 422441136 is about 750.3353380422.

The spelling of 422441136 in words is "four hundred twenty-two million, four hundred forty-one thousand, one hundred thirty-six".