405008 has 20 divisors (see below), whose sum is σ = 831420. Its totient is φ = 190464.

The previous prime is 405001. The next prime is 405011. The reversal of 405008 is 800504.

405008 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 200704 + 204304 = 448^2 + 452^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405001) by changing a digit.

405008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 473 + ... + 1016.

It is an arithmetic number, because the mean of its divisors is an integer number (41571).

2⁴⁰⁵⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

405008 is an abundant number, since it is smaller than the sum of its proper divisors (426412).

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

405008 is a wasteful number, since it uses less digits than its factorization.

405008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 405008 is about 636.4023884305. The cubic root of 405008 is about 73.9868493797.

The spelling of 405008 in words is "four hundred five thousand, eight".