408012 has 36 divisors (see below), whose sum is σ = 1050168. Its totient is φ = 123200.

The previous prime is 408011. The next prime is 408019. The reversal of 408012 is 210804.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 407982 and 408000.

It is not an unprimeable number, because it can be changed into a prime (408011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1312 + ... + 1592.

2⁴⁰⁸⁰¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525084).

408012 is an abundant number, since it is smaller than the sum of its proper divisors (642156).

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

408012 is a wasteful number, since it uses less digits than its factorization.

408012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 297 counting only the distinct ones).

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

The square root of 408012 is about 638.7581702022. The cubic root of 408012 is about 74.1693225213.

Adding to 408012 its reverse (210804), we get a palindrome (618816).

The spelling of 408012 in words is "four hundred eight thousand, twelve".