422352 has 60 divisors (see below), whose sum is σ = 1354080. Its totient is φ = 120384.

The previous prime is 422339. The next prime is 422353. The reversal of 422352 is 253224.

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

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 422352.

It is not an unprimeable number, because it can be changed into a prime (422353) by changing a digit.

422352 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 11 ways as a sum of consecutive naturals, for example, 799 + ... + 1217.

It is an arithmetic number, because the mean of its divisors is an integer number (22568).

2⁴²²³⁵² is an apocalyptic number.

422352 is a gapful number since it is divisible by the number (42) 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 422352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677040).

422352 is an abundant number, since it is smaller than the sum of its proper divisors (931728).

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

422352 is a wasteful number, since it uses less digits than its factorization.

422352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 431 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 422352 is about 649.8861438744. The cubic root of 422352 is about 75.0282560200.

Adding to 422352 its reverse (253224), we get a palindrome (675576).

The spelling of 422352 in words is "four hundred twenty-two thousand, three hundred fifty-two".