406560366 has 96 divisors (see below), whose sum is σ = 965671200. Its totient is φ = 123513984.

The previous prime is 406560361. The next prime is 406560421. The reversal of 406560366 is 663065604.

406560366 is a `hidden beast` number, since 40 + 6 + 5 + 603 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 406560366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406560361) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4568050 + ... + 4568138.

It is an arithmetic number, because the mean of its divisors is an integer number (10059075).

Almost surely, 2^406560366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406560366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482835600).

406560366 is an abundant number, since it is smaller than the sum of its proper divisors (559110834).

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

406560366 is a wasteful number, since it uses less digits than its factorization.

406560366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 406560366 is about 20163.3421336841. The cubic root of 406560366 is about 740.8125758722.

The spelling of 406560366 in words is "four hundred six million, five hundred sixty thousand, three hundred sixty-six".