413166096 has 480 divisors, whose sum is σ = 1559900160. Its totient is φ = 103016448.

The previous prime is 413166073. The next prime is 413166097. The reversal of 413166096 is 690661314.

413166096 is a `hidden beast` number, since 41 + 3 + 1 + 6 + 609 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 413166096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413166097) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8790745 + ... + 8790791.

It is an arithmetic number, because the mean of its divisors is an integer number (3249792).

Almost surely, 2^413166096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413166096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779950080).

413166096 is an abundant number, since it is smaller than the sum of its proper divisors (1146734064).

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

413166096 is a wasteful number, since it uses less digits than its factorization.

413166096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 413166096 is about 20326.4875470407. The cubic root of 413166096 is about 744.8032427868.

It can be divided in two parts, 4131 and 66096, that multiplied together give a square (273042576 = 16524²).

The spelling of 413166096 in words is "four hundred thirteen million, one hundred sixty-six thousand, ninety-six".