1324384992 has 288 divisors, whose sum is σ = 4623091200. Its totient is φ = 364912128.

The previous prime is 1324384991. The next prime is 1324385009. The reversal of 1324384992 is 2994834231.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1324384991) 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 47 ways as a sum of consecutive naturals, for example, 1578109 + ... + 1578947.

It is an arithmetic number, because the mean of its divisors is an integer number (16052400).

Almost surely, 2^1324384992 is an apocalyptic number.

1324384992 is a gapful number since it is divisible by the number (12) 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 1324384992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311545600).

1324384992 is an abundant number, since it is smaller than the sum of its proper divisors (3298706208).

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

1324384992 is an equidigital number, since it uses as much as digits as its factorization.

1324384992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 880 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 1324384992 is about 36392.1006813292. The cubic root of 1324384992 is about 1098.1746564410.

The spelling of 1324384992 in words is "one billion, three hundred twenty-four million, three hundred eighty-four thousand, nine hundred ninety-two".