409593 has 4 divisors (see below), whose sum is σ = 546128. Its totient is φ = 273060.

The previous prime is 409589. The next prime is 409597. The reversal of 409593 is 395904.

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 an interprime number because it is at equal distance from previous prime (409589) and next prime (409597).

It is not a de Polignac number, because 409593 - 2² = 409589 is a prime.

It is a D-number.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 409593.

It is not an unprimeable number, because it can be changed into a prime (409597) 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, 68263 + ... + 68268.

It is an arithmetic number, because the mean of its divisors is an integer number (136532).

2⁴⁰⁹⁵⁹³ is an apocalyptic number.

It is an amenable number.

409593 is a deficient number, since it is larger than the sum of its proper divisors (136535).

409593 is a wasteful number, since it uses less digits than its factorization.

409593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136534.

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 409593 is about 639.9945312266. The cubic root of 409593 is about 74.2649982739.

Subtracting from 409593 its reverse (395904), we obtain a square (13689 = 117²).

The spelling of 409593 in words is "four hundred nine thousand, five hundred ninety-three".