422208 has 42 divisors (see below), whose sum is σ = 1211834. Its totient is φ = 140544.

The previous prime is 422203. The next prime is 422209. The reversal of 422208 is 802224.

It can be written as a sum of positive squares in only one way, i.e., 419904 + 2304 = 648^2 + 48^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422203) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 210 + ... + 942.

2⁴²²²⁰⁸ is an apocalyptic number.

422208 is a gapful number since it is divisible by the number (48) 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 422208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605917).

422208 is an abundant number, since it is smaller than the sum of its proper divisors (789626).

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

422208 is a wasteful number, since it uses less digits than its factorization.

422208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 422208 is about 649.7753457927. The cubic root of 422208 is about 75.0197281435.

It can be divided in two parts, 422 and 208, that added together give a triangular number (630 = T₃₅).

The spelling of 422208 in words is "four hundred twenty-two thousand, two hundred eight".