409093 has 4 divisors (see below), whose sum is σ = 410380. Its totient is φ = 407808.

The previous prime is 409081. The next prime is 409099. The reversal of 409093 is 390904.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 263169 + 145924 = 513^2 + 382^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-409093 is a prime.

It is a Duffinian number.

409093 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409099) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 223 + ... + 931.

It is an arithmetic number, because the mean of its divisors is an integer number (102595).

2⁴⁰⁹⁰⁹³ is an apocalyptic number.

It is an amenable number.

409093 is a deficient number, since it is larger than the sum of its proper divisors (1287).

409093 is an equidigital number, since it uses as much as digits as its factorization.

409093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286.

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 409093 is about 639.6037836036. The cubic root of 409093 is about 74.2347669476.

Adding to 409093 its reverse (390904), we get a palindrome (799997).

The spelling of 409093 in words is "four hundred nine thousand, ninety-three".