422416 has 20 divisors (see below), whose sum is σ = 867132. Its totient is φ = 198656.

The previous prime is 422407. The next prime is 422431. The reversal of 422416 is 614224.

It can be written as a sum of positive squares in 2 ways, for example, as 176400 + 246016 = 420^2 + 496^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 422393 and 422402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 505 + ... + 1048.

2⁴²²⁴¹⁶ is an apocalyptic number.

It is an amenable number.

422416 is an abundant number, since it is smaller than the sum of its proper divisors (444716).

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

422416 is a wasteful number, since it uses less digits than its factorization.

422416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1572 counting only the distinct ones).

The product of its digits is 384, while the sum is 19.

The square root of 422416 is about 649.9353814034. The cubic root of 422416 is about 75.0320455651.

It can be divided in two parts, 422 and 416, that added together give a palindrome (838).

The spelling of 422416 in words is "four hundred twenty-two thousand, four hundred sixteen".