405108 has 72 divisors (see below), whose sum is σ = 1191680. Its totient is φ = 118800.

The previous prime is 405091. The next prime is 405143. The reversal of 405108 is 801504.

It is a super-2 number, since 2×405108² = 328224983328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 405108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13053 + ... + 13083.

2⁴⁰⁵¹⁰⁸ 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 405108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595840).

405108 is an abundant number, since it is smaller than the sum of its proper divisors (786572).

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

405108 is a wasteful number, since it uses less digits than its factorization.

405108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 405108 is about 636.4809502255. The cubic root of 405108 is about 73.9929382109.

The spelling of 405108 in words is "four hundred five thousand, one hundred eight".