406424466 has 80 divisors (see below), whose sum is σ = 1046601600. Its totient is φ = 115473600.

The previous prime is 406424461. The next prime is 406424521. The reversal of 406424466 is 664424604.

It is a happy number.

406424466 is a `hidden beast` number, since 4 + 0 + 642 + 4 + 4 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 406424466.

It is not an unprimeable number, because it can be changed into a prime (406424461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 224766 + ... + 226566.

It is an arithmetic number, because the mean of its divisors is an integer number (13082520).

Almost surely, 2^406424466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406424466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523300800).

406424466 is an abundant number, since it is smaller than the sum of its proper divisors (640177134).

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

406424466 is a wasteful number, since it uses less digits than its factorization.

406424466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 406424466 is about 20159.9718749804. The cubic root of 406424466 is about 740.7300234338.

The spelling of 406424466 in words is "four hundred six million, four hundred twenty-four thousand, four hundred sixty-six".