408096 has 72 divisors (see below), whose sum is σ = 1261260. Its totient is φ = 124416.

The previous prime is 408091. The next prime is 408127. The reversal of 408096 is 690804.

It can be written as a sum of positive squares in 2 ways, for example, as 404496 + 3600 = 636^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (408091) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3690 + ... + 3798.

2⁴⁰⁸⁰⁹⁶ 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 408096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630630).

408096 is an abundant number, since it is smaller than the sum of its proper divisors (853164).

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

408096 is a wasteful number, since it uses less digits than its factorization.

408096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 408096 is about 638.8239194019. The cubic root of 408096 is about 74.1744120739.

The spelling of 408096 in words is "four hundred eight thousand, ninety-six".