423624 has 32 divisors (see below), whose sum is σ = 1116000. Its totient is φ = 133632.

The previous prime is 423617. The next prime is 423649. The reversal of 423624 is 426324.

423624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 423624.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 423624.

It is an unprimeable number.

423624 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, 9 + ... + 920.

It is an arithmetic number, because the mean of its divisors is an integer number (34875).

2⁴²³⁶²⁴ 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 423624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558000).

423624 is an abundant number, since it is smaller than the sum of its proper divisors (692376).

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

423624 is a wasteful number, since it uses less digits than its factorization.

423624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 953 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 423624 is about 650.8640411023. The cubic root of 423624 is about 75.1035015445.

Adding to 423624 its reverse (426324), we get a palindrome (849948).

The spelling of 423624 in words is "four hundred twenty-three thousand, six hundred twenty-four".