1323330400 has 144 divisors (see below), whose sum is σ = 3748260096. Its totient is φ = 446814720.

The previous prime is 1323330389. The next prime is 1323330427. The reversal of 1323330400 is 40333231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 373437 + ... + 376963.

It is an arithmetic number, because the mean of its divisors is an integer number (26029584).

Almost surely, 2^1323330400 is an apocalyptic number.

1323330400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874130048).

1323330400 is an abundant number, since it is smaller than the sum of its proper divisors (2424929696).

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

1323330400 is a wasteful number, since it uses less digits than its factorization.

1323330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3621 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 1323330400 is about 36377.6084975360. The cubic root of 1323330400 is about 1097.8830912362.

Adding to 1323330400 its reverse (40333231), we get a palindrome (1363663631).

The spelling of 1323330400 in words is "one billion, three hundred twenty-three million, three hundred thirty thousand, four hundred".