422496 has 60 divisors (see below), whose sum is σ = 1250172. Its totient is φ = 139968.

The previous prime is 422479. The next prime is 422537. The reversal of 422496 is 694224.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2511 + ... + 2673.

422496 is a Friedman number, since it can be written as 6^4*(9^2*4+2), using all its digits and the basic arithmetic operations.

2⁴²²⁴⁹⁶ 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 422496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625086).

422496 is an abundant number, since it is smaller than the sum of its proper divisors (827676).

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

422496 is a wasteful number, since it uses less digits than its factorization.

422496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 168 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 422496 is about 649.9969230696. The cubic root of 422496 is about 75.0367819582.

It can be divided in two parts, 4224 and 96, that multiplied together give a palindrome (405504).

The spelling of 422496 in words is "four hundred twenty-two thousand, four hundred ninety-six".