422048 has 36 divisors (see below), whose sum is σ = 921690. Its totient is φ = 190080.

The previous prime is 422041. The next prime is 422057. The reversal of 422048 is 840224.

It can be written as a sum of positive squares in only one way, i.e., 327184 + 94864 = 572^2 + 308^2 .

It is not an unprimeable number, because it can be changed into a prime (422041) by changing a digit.

422048 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 5 ways as a sum of consecutive naturals, for example, 3818 + ... + 3926.

2⁴²²⁰⁴⁸ 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 422048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460845).

422048 is an abundant number, since it is smaller than the sum of its proper divisors (499642).

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

422048 is a wasteful number, since it uses less digits than its factorization.

422048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 422048 is about 649.6522146503. The cubic root of 422048 is about 75.0102504508.

The spelling of 422048 in words is "four hundred twenty-two thousand, forty-eight".