409072205 has 8 divisors (see below), whose sum is σ = 491507352. Its totient is φ = 326843968.

The previous prime is 409072177. The next prime is 409072219. The reversal of 409072205 is 502270904.

It can be written as a sum of positive squares in 4 ways, for example, as 52504516 + 356567689 = 7246^2 + 18883^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 409072205 - 2¹⁴ = 409055821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47342 + ... + 55311.

It is an arithmetic number, because the mean of its divisors is an integer number (61438419).

Almost surely, 2^409072205 is an apocalyptic number.

It is an amenable number.

409072205 is a deficient number, since it is larger than the sum of its proper divisors (82435147).

409072205 is a wasteful number, since it uses less digits than its factorization.

409072205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103455.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 409072205 is about 20225.5334911097. The cubic root of 409072205 is about 742.3350909333.

The spelling of 409072205 in words is "four hundred nine million, seventy-two thousand, two hundred five".