1322332400 has 120 divisors (see below), whose sum is σ = 3260603808. Its totient is φ = 515200000.

The previous prime is 1322332393. The next prime is 1322332409. The reversal of 1322332400 is 42332231.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322332409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2868170 + ... + 2868630.

Almost surely, 2^1322332400 is an apocalyptic number.

1322332400 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 1322332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630301904).

1322332400 is an abundant number, since it is smaller than the sum of its proper divisors (1938271408).

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

1322332400 is a wasteful number, since it uses less digits than its factorization.

1322332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 640 counting only the distinct ones).

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

The square root of 1322332400 is about 36363.8886809428. Note that the first 3 decimals coincide. The cubic root of 1322332400 is about 1097.6070294452.

Adding to 1322332400 its reverse (42332231), we get a palindrome (1364664631).

The spelling of 1322332400 in words is "one billion, three hundred twenty-two million, three hundred thirty-two thousand, four hundred".