413559 has 24 divisors (see below), whose sum is σ = 663120. Its totient is φ = 254592.

The previous prime is 413557. The next prime is 413579. The reversal of 413559 is 955314.

413559 = 61² + 62² + ... + 113².

It is not a de Polignac number, because 413559 - 2¹ = 413557 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7777 + ... + 7829.

It is an arithmetic number, because the mean of its divisors is an integer number (27630).

2⁴¹³⁵⁵⁹ is an apocalyptic number.

413559 is a deficient number, since it is larger than the sum of its proper divisors (249561).

413559 is a wasteful number, since it uses less digits than its factorization.

413559 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 73 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 413559 is about 643.0855308588. The cubic root of 413559 is about 74.5039260427.

It can be divided in two parts, 41 and 3559, that added together give a square (3600 = 60²).

The spelling of 413559 in words is "four hundred thirteen thousand, five hundred fifty-nine".