423504000 has 384 divisors, whose sum is σ = 1619682480. Its totient is φ = 105676800.

The previous prime is 423503987. The next prime is 423504001. The reversal of 423504000 is 405324.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 122412096 + 301091904 = 11064^2 + 17352^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (423504001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2447914 + ... + 2448086.

Almost surely, 2^423504000 is an apocalyptic number.

423504000 is a gapful number since it is divisible by the number (40) 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 423504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809841240).

423504000 is an abundant number, since it is smaller than the sum of its proper divisors (1196178480).

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

423504000 is a wasteful number, since it uses less digits than its factorization.

423504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 200 counting only the distinct ones).

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

The square root of 423504000 is about 20579.2128129333. The cubic root of 423504000 is about 750.9640935006.

Adding to 423504000 its reverse (405324), we get a palindrome (423909324).

The spelling of 423504000 in words is "four hundred twenty-three million, five hundred four thousand".