413805 has 24 divisors (see below), whose sum is σ = 771552. Its totient is φ = 188832.

The previous prime is 413783. The next prime is 413807. The reversal of 413805 is 508314.

413805 = 10² + 11² + ... + 107².

It is not a de Polignac number, because 413805 - 2⁹ = 413293 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413807) 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, 454 + ... + 1016.

It is an arithmetic number, because the mean of its divisors is an integer number (32148).

2⁴¹³⁸⁰⁵ is an apocalyptic number.

It is an amenable number.

413805 is a deficient number, since it is larger than the sum of its proper divisors (357747).

413805 is a wasteful number, since it uses less digits than its factorization.

413805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 413805 is about 643.2767678068. The cubic root of 413805 is about 74.5186956668.

The spelling of 413805 in words is "four hundred thirteen thousand, eight hundred five".