413323312 has 80 divisors (see below), whose sum is σ = 892576800. Its totient is φ = 184504320.

The previous prime is 413323301. The next prime is 413323319. The reversal of 413323312 is 213323314.

It is not an unprimeable number, because it can be changed into a prime (413323319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480739 + ... + 481597.

It is an arithmetic number, because the mean of its divisors is an integer number (11157210).

Almost surely, 2^413323312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413323312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446288400).

413323312 is an abundant number, since it is smaller than the sum of its proper divisors (479253488).

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

413323312 is a wasteful number, since it uses less digits than its factorization.

413323312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 968 counting only the distinct ones).

The product of its digits is 1296, while the sum is 22.

The square root of 413323312 is about 20330.3544484596. The cubic root of 413323312 is about 744.8977004708.

Adding to 413323312 its reverse (213323314), we get a palindrome (626646626).

It can be divided in two parts, 41332 and 3312, that added together give a palindrome (44644).

The spelling of 413323312 in words is "four hundred thirteen million, three hundred twenty-three thousand, three hundred twelve".