423168 has 72 divisors (see below), whose sum is σ = 1226400. Its totient is φ = 129024.

The previous prime is 423133. The next prime is 423173. The reversal of 423168 is 861324.

It is a happy number.

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

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

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 14578 + ... + 14606.

2⁴²³¹⁶⁸ is an apocalyptic number.

423168 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 423168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613200).

423168 is an abundant number, since it is smaller than the sum of its proper divisors (803232).

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

423168 is a wasteful number, since it uses less digits than its factorization.

423168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 53 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 423168 is about 650.5136432082. The cubic root of 423168 is about 75.0765440757.

It can be divided in two parts, 42316 and 8, that added together give a palindrome (42324).

The spelling of 423168 in words is "four hundred twenty-three thousand, one hundred sixty-eight".