413641566 has 80 divisors (see below), whose sum is σ = 1015383600. Its totient is φ = 125079552.

The previous prime is 413641541. The next prime is 413641577. The reversal of 413641566 is 665146314.

It is a happy number.

413641566 is a `hidden beast` number, since 4 + 1 + 3 + 641 + 5 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 413641566.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122590 + ... + 125918.

It is an arithmetic number, because the mean of its divisors is an integer number (12692295).

Almost surely, 2^413641566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413641566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507691800).

413641566 is an abundant number, since it is smaller than the sum of its proper divisors (601742034).

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

413641566 is a wasteful number, since it uses less digits than its factorization.

413641566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3415 (or 3406 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 413641566 is about 20338.1800070704. The cubic root of 413641566 is about 745.0888388571.

The spelling of 413641566 in words is "four hundred thirteen million, six hundred forty-one thousand, five hundred sixty-six".