409059 has 24 divisors (see below), whose sum is σ = 695552. Its totient is φ = 226800.

The previous prime is 409043. The next prime is 409063. The reversal of 409059 is 950904.

It is a happy number.

409059 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 409059 - 2⁴ = 409043 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (409069) 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, 2634 + ... + 2784.

2⁴⁰⁹⁰⁵⁹ is an apocalyptic number.

409059 is a deficient number, since it is larger than the sum of its proper divisors (286493).

409059 is a wasteful number, since it uses less digits than its factorization.

409059 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 409059 is about 639.5772040966. The cubic root of 409059 is about 74.2327103232.

The spelling of 409059 in words is "four hundred nine thousand, fifty-nine".