405408 has 48 divisors (see below), whose sum is σ = 1100736. Its totient is φ = 130560.

The previous prime is 405407. The next prime is 405413. The reversal of 405408 is 804504.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (405401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3885 + ... + 3987.

It is an arithmetic number, because the mean of its divisors is an integer number (22932).

2⁴⁰⁵⁴⁰⁸ is an apocalyptic number.

405408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550368).

405408 is an abundant number, since it is smaller than the sum of its proper divisors (695328).

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

405408 is a wasteful number, since it uses less digits than its factorization.

405408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 405408 is about 636.7165774503. The cubic root of 405408 is about 74.0111986948.

The spelling of 405408 in words is "four hundred five thousand, four hundred eight".