409193 has 4 divisors (see below), whose sum is σ = 427008. Its totient is φ = 391380.

The previous prime is 409187. The next prime is 409217. The reversal of 409193 is 391904.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 409193 - 2⁴ = 409177 is a prime.

It is a super-2 number, since 2×409193² = 334877822498, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8873 + ... + 8918.

It is an arithmetic number, because the mean of its divisors is an integer number (106752).

2⁴⁰⁹¹⁹³ is an apocalyptic number.

It is an amenable number.

409193 is a deficient number, since it is larger than the sum of its proper divisors (17815).

409193 is a wasteful number, since it uses less digits than its factorization.

409193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17814.

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 409193 is about 639.6819522231. The cubic root of 409193 is about 74.2408151827.

The spelling of 409193 in words is "four hundred nine thousand, one hundred ninety-three".