413223320 has 64 divisors (see below), whose sum is σ = 971611200. Its totient is φ = 157964800.

The previous prime is 413223287. The next prime is 413223323. The reversal of 413223320 is 23322314.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 413223292 and 413223301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413223323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115397 + ... + 118923.

It is an arithmetic number, because the mean of its divisors is an integer number (15181425).

Almost surely, 2^413223320 is an apocalyptic number.

413223320 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 413223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485805600).

413223320 is an abundant number, since it is smaller than the sum of its proper divisors (558387880).

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

413223320 is a wasteful number, since it uses less digits than its factorization.

413223320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 413223320 is about 20327.8951197609. The cubic root of 413223320 is about 744.8376265803.

Adding to 413223320 its reverse (23322314), we get a palindrome (436545634).

The spelling of 413223320 in words is "four hundred thirteen million, two hundred twenty-three thousand, three hundred twenty".