324424400 has 60 divisors (see below), whose sum is σ = 783910764. Its totient is φ = 129024000.

The previous prime is 324424391. The next prime is 324424417. The reversal of 324424400 is 4424423.

It can be written as a sum of positive squares in 6 ways, for example, as 34199104 + 290225296 = 5848^2 + 17036^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70160 + ... + 74640.

Almost surely, 2^324424400 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 324424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391955382).

324424400 is an abundant number, since it is smaller than the sum of its proper divisors (459486364).

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

324424400 is a wasteful number, since it uses less digits than its factorization.

324424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4680 (or 4669 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 324424400 is about 18011.7850309180. The cubic root of 324424400 is about 687.1283015559.

Adding to 324424400 its sum of digits (23), we get a palindrome (324424423).

Adding to 324424400 its reverse (4424423), we get a palindrome (328848823).

The spelling of 324424400 in words is "three hundred twenty-four million, four hundred twenty-four thousand, four hundred".