1413305322 has 128 divisors (see below), whose sum is σ = 3434876928. Its totient is φ = 381984000.

The previous prime is 1413305321. The next prime is 1413305347. The reversal of 1413305322 is 2235033141.

It is a junction number, because it is equal to n+sod(n) for n = 1413305292 and 1413305301.

It is not an unprimeable number, because it can be changed into a prime (1413305321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4072753 + ... + 4073099.

It is an arithmetic number, because the mean of its divisors is an integer number (26834976).

Almost surely, 2^1413305322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1413305322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717438464).

1413305322 is an abundant number, since it is smaller than the sum of its proper divisors (2021571606).

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

1413305322 is a wasteful number, since it uses less digits than its factorization.

1413305322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 1413305322 is about 37593.9532637896. The cubic root of 1413305322 is about 1122.2217065638.

Adding to 1413305322 its reverse (2235033141), we get a palindrome (3648338463).

The spelling of 1413305322 in words is "one billion, four hundred thirteen million, three hundred five thousand, three hundred twenty-two".