324534400 has 96 divisors (see below), whose sum is σ = 823669380. Its totient is φ = 126259200.

The previous prime is 324534377. The next prime is 324534401. The reversal of 324534400 is 4435423.

It can be written as a sum of positive squares in 6 ways, for example, as 155950144 + 168584256 = 12488^2 + 12984^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (324534401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 117030 + ... + 119770.

Almost surely, 2^324534400 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 324534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411834690).

324534400 is an abundant number, since it is smaller than the sum of its proper divisors (499134980).

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

324534400 is a wasteful number, since it uses less digits than its factorization.

324534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 324534400 is about 18014.8383284447. The cubic root of 324534400 is about 687.2059524891.

Adding to 324534400 its reverse (4435423), we get a palindrome (328969823).

The spelling of 324534400 in words is "three hundred twenty-four million, five hundred thirty-four thousand, four hundred".