413259 has 16 divisors (see below), whose sum is σ = 687360. Its totient is φ = 214560.

The previous prime is 413251. The next prime is 413263. The reversal of 413259 is 952314.

It is not a de Polignac number, because 413259 - 2³ = 413251 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 664 + ... + 1125.

It is an arithmetic number, because the mean of its divisors is an integer number (42960).

413259 is a Friedman number, since it can be written as (9^5-12)*(4+3), using all its digits and the basic arithmetic operations.

2⁴¹³²⁵⁹ is an apocalyptic number.

413259 is a deficient number, since it is larger than the sum of its proper divisors (274101).

413259 is a wasteful number, since it uses less digits than its factorization.

413259 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810.

The product of its digits is 1080, while the sum is 24.

The square root of 413259 is about 642.8522380765. The cubic root of 413259 is about 74.4859063771.

The spelling of 413259 in words is "four hundred thirteen thousand, two hundred fifty-nine".