423504 has 60 divisors (see below), whose sum is σ = 1262196. Its totient is φ = 132096.

The previous prime is 423503. The next prime is 423509. The reversal of 423504 is 405324.

Added to its reverse (405324) it gives a triangular number (828828 = T₁₂₈₇).

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 360000 + 63504 = 600^2 + 252^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2362 + ... + 2534.

2⁴²³⁵⁰⁴ 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 423504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631098).

423504 is an abundant number, since it is smaller than the sum of its proper divisors (838692).

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

423504 is a wasteful number, since it uses less digits than its factorization.

423504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 195 counting only the distinct ones).

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

The square root of 423504 is about 650.7718494219. The cubic root of 423504 is about 75.0964093501.

Adding to 423504 its reverse (405324), we get a palindrome (828828).

The spelling of 423504 in words is "four hundred twenty-three thousand, five hundred four".