409094408 has 12 divisors (see below), whose sum is σ = 767159295. Its totient is φ = 204518600.

The previous prime is 409094401. The next prime is 409094417. The reversal of 409094408 is 804490904.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 204547204 + 204547204 = 14302^2 + 14302^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=14302.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (409094401) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 53633 + ... + 60783.

Almost surely, 2^409094408 is an apocalyptic number.

It is an amenable number.

409094408 is a deficient number, since it is larger than the sum of its proper divisors (358064887).

409094408 is an frugal number, since it uses more digits than its factorization.

409094408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14308 (or 7153 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 409094408 is about 20226.0823690600. The cubic root of 409094408 is about 742.3485211360.

Multiplying 409094408 by its product of nonzero digits (41472), we get a square (16965963288576 = 4118976²).

The spelling of 409094408 in words is "four hundred nine million, ninety-four thousand, four hundred eight".