1324413220 has 96 divisors (see below), whose sum is σ = 3201660000. Its totient is φ = 455860224.

The previous prime is 1324413193. The next prime is 1324413227. The reversal of 1324413220 is 223144231.

It can be written as a sum of positive squares in 16 ways, for example, as 455224896 + 869188324 = 21336^2 + 29482^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1324413191 and 1324413200.

It is not an unprimeable number, because it can be changed into a prime (1324413227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 480406 + ... + 483154.

It is an arithmetic number, because the mean of its divisors is an integer number (33350625).

Almost surely, 2^1324413220 is an apocalyptic number.

1324413220 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 1324413220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600830000).

1324413220 is an abundant number, since it is smaller than the sum of its proper divisors (1877246780).

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

1324413220 is a wasteful number, since it uses less digits than its factorization.

1324413220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1324413220 is about 36392.4885106803. The cubic root of 1324413220 is about 1098.1824585665.

Adding to 1324413220 its reverse (223144231), we get a palindrome (1547557451).

The spelling of 1324413220 in words is "one billion, three hundred twenty-four million, four hundred thirteen thousand, two hundred twenty".