1323504400 has 135 divisors (see below), whose sum is σ = 3409627039. Its totient is φ = 493603840.

The previous prime is 1323504389. The next prime is 1323504401. The reversal of 1323504400 is 44053231.

The square root of 1323504400 is 36380.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 30958096 + 1292546304 = 5564^2 + 35952^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1323504401) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 12369147 + ... + 12369253.

Almost surely, 2^1323504400 is an apocalyptic number.

1323504400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1323504400 is the 36380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323504400

1323504400 is an abundant number, since it is smaller than the sum of its proper divisors (2086122639).

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

1323504400 is a wasteful number, since it uses less digits than its factorization.

1323504400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The cubic root of 1323504400 is about 1097.9312080396.

Adding to 1323504400 its reverse (44053231), we get a palindrome (1367557631).

The spelling of 1323504400 in words is "one billion, three hundred twenty-three million, five hundred four thousand, four hundred".