413685 has 24 divisors (see below), whose sum is σ = 744120. Its totient is φ = 212352.

The previous prime is 413683. The next prime is 413689. The reversal of 413685 is 586314.

It can be written as a sum of positive squares in 4 ways, for example, as 1521 + 412164 = 39^2 + 642^2 .

It is not a de Polignac number, because 413685 - 2¹ = 413683 is a prime.

It is a super-2 number, since 2×413685² = 342270558450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413681) 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, 1147 + ... + 1463.

It is an arithmetic number, because the mean of its divisors is an integer number (31005).

2⁴¹³⁶⁸⁵ is an apocalyptic number.

413685 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

413685 is a deficient number, since it is larger than the sum of its proper divisors (330435).

413685 is a wasteful number, since it uses less digits than its factorization.

413685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 354 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 413685 is about 643.1834885940. The cubic root of 413685 is about 74.5114917036.

Adding to 413685 its reverse (586314), we get a palindrome (999999).

It can be divided in two parts, 4 and 13685, that added together give a square (13689 = 117²).

The spelling of 413685 in words is "four hundred thirteen thousand, six hundred eighty-five".