412605 has 24 divisors (see below), whose sum is σ = 732888. Its totient is φ = 214656.

The previous prime is 412603. The next prime is 412609. The reversal of 412605 is 506214.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 161604 + 251001 = 402^2 + 501^2 .

It is not a de Polignac number, because 412605 - 2¹ = 412603 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412603) 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, 2299 + ... + 2471.

It is an arithmetic number, because the mean of its divisors is an integer number (30537).

2⁴¹²⁶⁰⁵ is an apocalyptic number.

412605 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

412605 is a deficient number, since it is larger than the sum of its proper divisors (320283).

412605 is a wasteful number, since it uses less digits than its factorization.

412605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 412605 is about 642.3433661213. The cubic root of 412605 is about 74.4465932566.

Adding to 412605 its reverse (506214), we get a palindrome (918819).

The spelling of 412605 in words is "four hundred twelve thousand, six hundred five".