409095905 has 16 divisors (see below), whose sum is σ = 522087120. Its totient is φ = 306665472.

The previous prime is 409095899. The next prime is 409095949. The reversal of 409095905 is 509590904.

409095905 = T₆₉₂₉ + T₆₉₃₀ + ... + T₆₉₄₅.

It can be written as a sum of positive squares in 8 ways, for example, as 692224 + 408403681 = 832^2 + 20209^2 .

It is a cyclic number.

It is not a de Polignac number, because 409095905 - 2⁸ = 409095649 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 8957 + ... + 29973.

It is an arithmetic number, because the mean of its divisors is an integer number (32630445).

Almost surely, 2^409095905 is an apocalyptic number.

It is an amenable number.

409095905 is a deficient number, since it is larger than the sum of its proper divisors (112991215).

409095905 is a wasteful number, since it uses less digits than its factorization.

409095905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21268.

The product of its (nonzero) digits is 72900, while the sum is 41.

The square root of 409095905 is about 20226.1193756983. The cubic root of 409095905 is about 742.3494266274.

The spelling of 409095905 in words is "four hundred nine million, ninety-five thousand, nine hundred five".