409742193 has 32 divisors (see below), whose sum is σ = 642723840. Its totient is φ = 227335680.

The previous prime is 409742191. The next prime is 409742213. The reversal of 409742193 is 391247904.

It is not a de Polignac number, because 409742193 - 2¹ = 409742191 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (409742191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127713 + ... + 130881.

It is an arithmetic number, because the mean of its divisors is an integer number (20085120).

Almost surely, 2^409742193 is an apocalyptic number.

It is an amenable number.

409742193 is a deficient number, since it is larger than the sum of its proper divisors (232981647).

409742193 is a wasteful number, since it uses less digits than its factorization.

409742193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3357.

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 409742193 is about 20242.0896401533. The cubic root of 409742193 is about 742.7401411231.

The spelling of 409742193 in words is "four hundred nine million, seven hundred forty-two thousand, one hundred ninety-three".