406809216 has 384 divisors, whose sum is σ = 1403438400. Its totient is φ = 116121600.

The previous prime is 406809131. The next prime is 406809229. The reversal of 406809216 is 612908604.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9922156 + ... + 9922196.

Almost surely, 2^406809216 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 406809216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701719200).

406809216 is an abundant number, since it is smaller than the sum of its proper divisors (996629184).

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

406809216 is a wasteful number, since it uses less digits than its factorization.

406809216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 406809216 is about 20169.5120416930. The cubic root of 406809216 is about 740.9636921022.

The spelling of 406809216 in words is "four hundred six million, eight hundred nine thousand, two hundred sixteen".