413315322 has 64 divisors (see below), whose sum is σ = 1052974080. Its totient is φ = 105290496.

The previous prime is 413315317. The next prime is 413315363. The reversal of 413315322 is 223513314.

It is a junction number, because it is equal to n+sod(n) for n = 413315292 and 413315301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1668 + ... + 28799.

It is an arithmetic number, because the mean of its divisors is an integer number (16452720).

Almost surely, 2^413315322 is an apocalyptic number.

413315322 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 413315322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526487040).

413315322 is an abundant number, since it is smaller than the sum of its proper divisors (639658758).

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

413315322 is a wasteful number, since it uses less digits than its factorization.

413315322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30515.

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

The square root of 413315322 is about 20330.1579433117. The cubic root of 413315322 is about 744.8929005391.

Adding to 413315322 its reverse (223513314), we get a palindrome (636828636).

The spelling of 413315322 in words is "four hundred thirteen million, three hundred fifteen thousand, three hundred twenty-two".