406505466 has 48 divisors (see below), whose sum is σ = 922905984. Its totient is φ = 134089344.

The previous prime is 406505461. The next prime is 406505467. The reversal of 406505466 is 664505604.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 406505466.

It is not an unprimeable number, because it can be changed into a prime (406505461) 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 23 ways as a sum of consecutive naturals, for example, 42831 + ... + 51453.

It is an arithmetic number, because the mean of its divisors is an integer number (19227208).

Almost surely, 2^406505466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406505466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461452992).

406505466 is an abundant number, since it is smaller than the sum of its proper divisors (516400518).

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

406505466 is an equidigital number, since it uses as much as digits as its factorization.

406505466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8737 (or 8725 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 406505466 is about 20161.9807062699. The cubic root of 406505466 is about 740.7792290890.

The spelling of 406505466 in words is "four hundred six million, five hundred five thousand, four hundred sixty-six".