324144200 has 48 divisors (see below), whose sum is σ = 760600500. Its totient is φ = 128459520.

The previous prime is 324144187. The next prime is 324144209. The reversal of 324144200 is 2441423.

It can be written as a sum of positive squares in 6 ways, for example, as 104571076 + 219573124 = 10226^2 + 14818^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (324144209) 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, 14366 + ... + 29234.

Almost surely, 2^324144200 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 324144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380300250).

324144200 is an abundant number, since it is smaller than the sum of its proper divisors (436456300).

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

324144200 is a wasteful number, since it uses less digits than its factorization.

324144200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14994 (or 14985 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 324144200 is about 18004.0051099748. The cubic root of 324144200 is about 686.9304241193.

Adding to 324144200 its reverse (2441423), we get a palindrome (326585623).

The spelling of 324144200 in words is "three hundred twenty-four million, one hundred forty-four thousand, two hundred".