413584338 has 16 divisors (see below), whose sum is σ = 827402400. Its totient is φ = 137822496.

The previous prime is 413584307. The next prime is 413584373. The reversal of 413584338 is 833485314.

It is a junction number, because it is equal to n+sod(n) for n = 413584296 and 413584305.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20481 + ... + 35307.

It is an arithmetic number, because the mean of its divisors is an integer number (51712650).

Almost surely, 2^413584338 is an apocalyptic number.

413584338 is an abundant number, since it is smaller than the sum of its proper divisors (413818062).

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

413584338 is a wasteful number, since it uses less digits than its factorization.

413584338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19481.

The product of its digits is 138240, while the sum is 39.

The square root of 413584338 is about 20336.7730478559. The cubic root of 413584338 is about 745.0544758448.

The spelling of 413584338 in words is "four hundred thirteen million, five hundred eighty-four thousand, three hundred thirty-eight".