404505 has 24 divisors (see below), whose sum is σ = 716040. Its totient is φ = 211200.

The previous prime is 404497. The next prime is 404507. The reversal of 404505 is 505404.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 76176 + 328329 = 276^2 + 573^2 .

It is not a de Polignac number, because 404505 - 2³ = 404497 is a prime.

404505 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404507) 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, 3955 + ... + 4055.

It is an arithmetic number, because the mean of its divisors is an integer number (29835).

2⁴⁰⁴⁵⁰⁵ is an apocalyptic number.

404505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

404505 is a deficient number, since it is larger than the sum of its proper divisors (311535).

404505 is a wasteful number, since it uses less digits than its factorization.

404505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 404505 is about 636.0070754323. The cubic root of 404505 is about 73.9562073492.

Adding to 404505 its reverse (505404), we get a palindrome (909909).

It can be divided in two parts, 404 and 505, that added together give a palindrome (909).

The spelling of 404505 in words is "four hundred four thousand, five hundred five".