422592 has 56 divisors (see below), whose sum is σ = 1170432. Its totient is φ = 134400.

The previous prime is 422581. The next prime is 422621. The reversal of 422592 is 295224.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 422592.

It is an unprimeable number.

422592 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5917 + ... + 5987.

2⁴²²⁵⁹² 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 422592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585216).

422592 is an abundant number, since it is smaller than the sum of its proper divisors (747840).

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

422592 is a wasteful number, since it uses less digits than its factorization.

422592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 107 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 422592 is about 650.0707653787. The cubic root of 422592 is about 75.0424648408.

The spelling of 422592 in words is "four hundred twenty-two thousand, five hundred ninety-two".