393409 has 4 divisors (see below), whose sum is σ = 395604. Its totient is φ = 391216.

The previous prime is 393403. The next prime is 393413. The reversal of 393409 is 904393.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 199809 + 193600 = 447^2 + 440^2 .

It is a cyclic number.

It is not a de Polignac number, because 393409 - 2³ = 393401 is a prime.

It is a Duffinian number.

393409 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (393401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 802 + ... + 1195.

It is an arithmetic number, because the mean of its divisors is an integer number (98901).

2³⁹³⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

393409 is a deficient number, since it is larger than the sum of its proper divisors (2195).

393409 is a wasteful number, since it uses less digits than its factorization.

393409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194.

The product of its (nonzero) digits is 2916, while the sum is 28.

The square root of 393409 is about 627.2232457427. The cubic root of 393409 is about 73.2736957743.

The spelling of 393409 in words is "three hundred ninety-three thousand, four hundred nine".