1323304400 has 180 divisors, whose sum is σ = 3681014400. Its totient is φ = 455558400.

The previous prime is 1323304399. The next prime is 1323304427. The reversal of 1323304400 is 44033231.

It is a super-2 number, since 2×1323304400² = 3502269070118720000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 918881 + ... + 920319.

It is an arithmetic number, because the mean of its divisors is an integer number (20450080).

Almost surely, 2^1323304400 is an apocalyptic number.

1323304400 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 1323304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840507200).

1323304400 is an abundant number, since it is smaller than the sum of its proper divisors (2357710000).

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

1323304400 is a wasteful number, since it uses less digits than its factorization.

1323304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1476 counting only the distinct ones).

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

The square root of 1323304400 is about 36377.2511330914. The cubic root of 1323304400 is about 1097.8759010069.

Adding to 1323304400 its reverse (44033231), we get a palindrome (1367337631).

The spelling of 1323304400 in words is "one billion, three hundred twenty-three million, three hundred four thousand, four hundred".