1330222400 has 168 divisors, whose sum is σ = 3640433664. Its totient is φ = 475084800.

The previous prime is 1330222381. The next prime is 1330222403. The reversal of 1330222400 is 42220331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330222403) 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 23 ways as a sum of consecutive naturals, for example, 643769 + ... + 645831.

It is an arithmetic number, because the mean of its divisors is an integer number (21669248).

Almost surely, 2^1330222400 is an apocalyptic number.

1330222400 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 1330222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820216832).

1330222400 is an abundant number, since it is smaller than the sum of its proper divisors (2310211264).

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

1330222400 is a wasteful number, since it uses less digits than its factorization.

1330222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 1330222400 is about 36472.2140814072. The cubic root of 1330222400 is about 1099.7857433940.

Adding to 1330222400 its reverse (42220331), we get a palindrome (1372442731).

The spelling of 1330222400 in words is "one billion, three hundred thirty million, two hundred twenty-two thousand, four hundred".