413111320 has 64 divisors (see below), whose sum is σ = 955009440. Its totient is φ = 160742400.

The previous prime is 413111317. The next prime is 413111353. The reversal of 413111320 is 23111314.

It is a junction number, because it is equal to n+sod(n) for n = 413111294 and 413111303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 792660 + ... + 793180.

Almost surely, 2^413111320 is an apocalyptic number.

413111320 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 413111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477504720).

413111320 is an abundant number, since it is smaller than the sum of its proper divisors (541898120).

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

413111320 is a wasteful number, since it uses less digits than its factorization.

413111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 413111320 is about 20325.1400979181. The cubic root of 413111320 is about 744.7703269321.

Adding to 413111320 its reverse (23111314), we get a palindrome (436222634).

It can be divided in two parts, 4131 and 11320, that added together give a palindrome (15451).

The spelling of 413111320 in words is "four hundred thirteen million, one hundred eleven thousand, three hundred twenty".