409105233 has 48 divisors (see below), whose sum is σ = 642470400. Its totient is φ = 250225920.

The previous prime is 409105219. The next prime is 409105243. The reversal of 409105233 is 332501904.

It is not a de Polignac number, because 409105233 - 2⁵ = 409105201 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 409105197 and 409105206.

It is not an unprimeable number, because it can be changed into a prime (409105243) 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 47 ways as a sum of consecutive naturals, for example, 476941 + ... + 477797.

It is an arithmetic number, because the mean of its divisors is an integer number (13384800).

Almost surely, 2^409105233 is an apocalyptic number.

It is an amenable number.

409105233 is a deficient number, since it is larger than the sum of its proper divisors (233365167).

409105233 is a wasteful number, since it uses less digits than its factorization.

409105233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 409105233 is about 20226.3499673075. The cubic root of 409105233 is about 742.3550688111.

The spelling of 409105233 in words is "four hundred nine million, one hundred five thousand, two hundred thirty-three".