413505220 has 12 divisors (see below), whose sum is σ = 868361004. Its totient is φ = 165402080.

The previous prime is 413505199. The next prime is 413505221. The reversal of 413505220 is 22505314.

It can be written as a sum of positive squares in 2 ways, for example, as 265298944 + 148206276 = 16288^2 + 12174^2 .

It is a junction number, because it is equal to n+sod(n) for n = 413505191 and 413505200.

It is not an unprimeable number, because it can be changed into a prime (413505221) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 10337611 + ... + 10337650.

It is an arithmetic number, because the mean of its divisors is an integer number (72363417).

Almost surely, 2^413505220 is an apocalyptic number.

It is an amenable number.

413505220 is an abundant number, since it is smaller than the sum of its proper divisors (454855784).

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

413505220 is a wasteful number, since it uses less digits than its factorization.

413505220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20675270 (or 20675268 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 413505220 is about 20334.8277592902. The cubic root of 413505220 is about 745.0069635852.

The spelling of 413505220 in words is "four hundred thirteen million, five hundred five thousand, two hundred twenty".