409893201 has 6 divisors (see below), whose sum is σ = 592067970. Its totient is φ = 273262128.

The previous prime is 409893193. The next prime is 409893217. The reversal of 409893201 is 102398904.

It can be written as a sum of positive squares in only one way, i.e., 235653201 + 174240000 = 15351^2 + 13200^2 .

It is not a de Polignac number, because 409893201 - 2³ = 409893193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (409893241) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22771836 + ... + 22771853.

It is an arithmetic number, because the mean of its divisors is an integer number (98677995).

Almost surely, 2^409893201 is an apocalyptic number.

It is an amenable number.

409893201 is a deficient number, since it is larger than the sum of its proper divisors (182174769).

409893201 is a wasteful number, since it uses less digits than its factorization.

409893201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45543695 (or 45543692 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 409893201 is about 20245.8193462255. The cubic root of 409893201 is about 742.8313740410.

The spelling of 409893201 in words is "four hundred nine million, eight hundred ninety-three thousand, two hundred one".