409575 has 24 divisors (see below), whose sum is σ = 698368. Its totient is φ = 211680.

The previous prime is 409573. The next prime is 409579. The reversal of 409575 is 575904.

It is not a de Polignac number, because 409575 - 2¹ = 409573 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409573) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3162 + ... + 3288.

409575 is a Friedman number, since it can be written as (4^7-9^0)*5*5, using all its digits and the basic arithmetic operations.

2⁴⁰⁹⁵⁷⁵ is an apocalyptic number.

409575 is a deficient number, since it is larger than the sum of its proper divisors (288793).

409575 is a wasteful number, since it uses less digits than its factorization.

409575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 409575 is about 639.9804684520. The cubic root of 409575 is about 74.2639103732.

The spelling of 409575 in words is "four hundred nine thousand, five hundred seventy-five".