409905441 has 20 divisors (see below), whose sum is σ = 667995504. Its totient is φ = 248427000.

The previous prime is 409905437. The next prime is 409905469. The reversal of 409905441 is 144509904.

It is a happy number.

It is not a de Polignac number, because 409905441 - 2² = 409905437 is a prime.

It is a super-2 number, since 2×409905441² = 336044941122808962, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 409905396 and 409905405.

It is not an unprimeable number, because it can be changed into a prime (409905481) 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 19 ways as a sum of consecutive naturals, for example, 229135 + ... + 230916.

Almost surely, 2^409905441 is an apocalyptic number.

It is an amenable number.

409905441 is a deficient number, since it is larger than the sum of its proper divisors (258090063).

409905441 is a wasteful number, since it uses less digits than its factorization.

409905441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460074 (or 460065 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 409905441 is about 20246.1216285984. The cubic root of 409905441 is about 742.8387679715.

The spelling of 409905441 in words is "four hundred nine million, nine hundred five thousand, four hundred forty-one".