409233201 has 48 divisors (see below), whose sum is σ = 620585280. Its totient is φ = 238377600.

The previous prime is 409233173. The next prime is 409233257. The reversal of 409233201 is 102332904.

It is not a de Polignac number, because 409233201 - 2⁵ = 409233169 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409233101) 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, 2286130 + ... + 2286308.

It is an arithmetic number, because the mean of its divisors is an integer number (12928860).

Almost surely, 2^409233201 is an apocalyptic number.

It is an amenable number.

409233201 is a deficient number, since it is larger than the sum of its proper divisors (211352079).

409233201 is a wasteful number, since it uses less digits than its factorization.

409233201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 409233201 is about 20229.5131182142. The cubic root of 409233201 is about 742.4324635598.

The spelling of 409233201 in words is "four hundred nine million, two hundred thirty-three thousand, two hundred one".