409201281 has 32 divisors (see below), whose sum is σ = 635808000. Its totient is φ = 259749504.

The previous prime is 409201267. The next prime is 409201283. The reversal of 409201281 is 182102904.

It is not a de Polignac number, because 409201281 - 2⁵ = 409201249 is a prime.

It is a super-2 number, since 2×409201281² = 334891376744081922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (409201283) 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 31 ways as a sum of consecutive naturals, for example, 53580 + ... + 60738.

It is an arithmetic number, because the mean of its divisors is an integer number (19869000).

Almost surely, 2^409201281 is an apocalyptic number.

It is an amenable number.

409201281 is a deficient number, since it is larger than the sum of its proper divisors (226606719).

409201281 is a wasteful number, since it uses less digits than its factorization.

409201281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7270 (or 7264 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 409201281 is about 20228.7241565058. The cubic root of 409201281 is about 742.4131599286.

The spelling of 409201281 in words is "four hundred nine million, two hundred one thousand, two hundred eighty-one".