422672481 has 81 divisors (see below), whose sum is σ = 789508083. Its totient is φ = 217103040.

The previous prime is 422672441. The next prime is 422672483. The reversal of 422672481 is 184276224.

The square root of 422672481 is 20559.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 81162081 + 341510400 = 9009^2 + 18480^2 .

It is not a de Polignac number, because 422672481 - 2¹⁹ = 422148193 is a prime.

It is a super-2 number, since 2×422672481² = 357304052389390722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (422672483) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 4749085 + ... + 4749173.

Almost surely, 2^422672481 is an apocalyptic number.

422672481 is the 20559-th square number.

422672481 is the 10280-th centered octagonal number.

It is an amenable number.

422672481 is a deficient number, since it is larger than the sum of its proper divisors (366835602).

422672481 is a wasteful number, since it uses less digits than its factorization.

422672481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 110 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The cubic root of 422672481 is about 750.4722838682.

Multiplying 422672481 by its sum of digits (36), we get a square (15216209316 = 123354²).

The spelling of 422672481 in words is "four hundred twenty-two million, six hundred seventy-two thousand, four hundred eighty-one".