422816 has 24 divisors (see below), whose sum is σ = 848484. Its totient is φ = 207360.

The previous prime is 422803. The next prime is 422827. The reversal of 422816 is 618224.

It can be written as a sum of positive squares in 2 ways, for example, as 384400 + 38416 = 620^2 + 196^2 .

Its product of digits (768) is a multiple of the sum of its prime divisors (256).

It is a junction number, because it is equal to n+sod(n) for n = 422791 and 422800.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 422816.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2246 + ... + 2426.

2⁴²²⁸¹⁶ is an apocalyptic number.

It is an amenable number.

422816 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

422816 is a wasteful number, since it uses less digits than its factorization.

422816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 256 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 422816 is about 650.2430314890. The cubic root of 422816 is about 75.0557215542.

The spelling of 422816 in words is "four hundred twenty-two thousand, eight hundred sixteen".