159408 has 60 divisors (see below), whose sum is σ = 473928. Its totient is φ = 51840.

The previous prime is 159407. The next prime is 159421. The reversal of 159408 is 804951.

159408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 159408.

It is not an unprimeable number, because it can be changed into a prime (159403) 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, 3868 + ... + 3908.

2¹⁵⁹⁴⁰⁸ is an apocalyptic number.

159408 is a gapful number since it is divisible by the number (18) 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 159408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236964).

159408 is an abundant number, since it is smaller than the sum of its proper divisors (314520).

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

159408 is an equidigital number, since it uses as much as digits as its factorization.

159408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 159408 is about 399.2593142307. The cubic root of 159408 is about 54.2213139486.

The spelling of 159408 in words is "one hundred fifty-nine thousand, four hundred eight".