412005 has 24 divisors (see below), whose sum is σ = 727776. Its totient is φ = 198880.

The previous prime is 412001. The next prime is 412007. The reversal of 412005 is 500214.

It is not a de Polignac number, because 412005 - 2² = 412001 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 412005.

It is not an unprimeable number, because it can be changed into a prime (412001) 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, 1702 + ... + 1928.

It is an arithmetic number, because the mean of its divisors is an integer number (30324).

2⁴¹²⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

412005 is a deficient number, since it is larger than the sum of its proper divisors (315771).

412005 is a wasteful number, since it uses less digits than its factorization.

412005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 412005 is about 641.8761562794. The cubic root of 412005 is about 74.4104896182.

Adding to 412005 its reverse (500214), we get a palindrome (912219).

Subtracting 412005 from its reverse (500214), we obtain a square (88209 = 297²).

The spelling of 412005 in words is "four hundred twelve thousand, five".