1323322400 has 36 divisors (see below), whose sum is σ = 3230562762. Its totient is φ = 529328640.

The previous prime is 1323322397. The next prime is 1323322409. The reversal of 1323322400 is 42233231.

It can be written as a sum of positive squares in 3 ways, for example, as 988725136 + 334597264 = 31444^2 + 18292^2 .

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 (1323322409) 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 5 ways as a sum of consecutive naturals, for example, 826277 + ... + 827876.

Almost surely, 2^1323322400 is an apocalyptic number.

1323322400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1323322400 is an abundant number, since it is smaller than the sum of its proper divisors (1907240362).

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

1323322400 is a wasteful number, since it uses less digits than its factorization.

1323322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654173 (or 1654160 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 1323322400 is about 36377.4985396192. The cubic root of 1323322400 is about 1097.8808788680.

Adding to 1323322400 its reverse (42233231), we get a palindrome (1365555631).

The spelling of 1323322400 in words is "one billion, three hundred twenty-three million, three hundred twenty-two thousand, four hundred".