412008 has 16 divisors (see below), whose sum is σ = 1030080. Its totient is φ = 137328.

The previous prime is 412007. The next prime is 412019. The reversal of 412008 is 800214.

It is a plaindrome in base 13.

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 3 ways as a sum of consecutive naturals, for example, 8560 + ... + 8607.

It is an arithmetic number, because the mean of its divisors is an integer number (64380).

2⁴¹²⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

412008 is an abundant number, since it is smaller than the sum of its proper divisors (618072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

412008 is a wasteful number, since it uses less digits than its factorization.

412008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17176 (or 17172 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 412008 is about 641.8784931745. The cubic root of 412008 is about 74.4106702236.

It can be divided in two parts, 41 and 2008, that multiplied together give a palindrome (82328).

The spelling of 412008 in words is "four hundred twelve thousand, eight".