413306320 has 80 divisors (see below), whose sum is σ = 1145998080. Its totient is φ = 135539712.

The previous prime is 413306287. The next prime is 413306393. The reversal of 413306320 is 23603314.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×413306320² = 341644228303884800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413306291 and 413306300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3165 + ... + 28924.

It is an arithmetic number, because the mean of its divisors is an integer number (14324976).

Almost surely, 2^413306320 is an apocalyptic number.

413306320 is a gapful number since it is divisible by the number (40) 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 413306320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572999040).

413306320 is an abundant number, since it is smaller than the sum of its proper divisors (732691760).

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

413306320 is a wasteful number, since it uses less digits than its factorization.

413306320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32132 (or 32126 counting only the distinct ones).

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

The square root of 413306320 is about 20329.9365468759. The cubic root of 413306320 is about 744.8874925820.

Adding to 413306320 its reverse (23603314), we get a palindrome (436909634).

The spelling of 413306320 in words is "four hundred thirteen million, three hundred six thousand, three hundred twenty".