129408 has 32 divisors (see below), whose sum is σ = 344760. Its totient is φ = 43008.

The previous prime is 129403. The next prime is 129419. The reversal of 129408 is 804921.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 216 + ... + 552.

2¹²⁹⁴⁰⁸ 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 129408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172380).

129408 is an abundant number, since it is smaller than the sum of its proper divisors (215352).

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

129408 is an equidigital number, since it uses as much as digits as its factorization.

129408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 129408 is about 359.7332344947. The cubic root of 129408 is about 50.5809569694.

It can be divided in two parts, 12 and 9408, that multiplied together give a square (112896 = 336²).

The spelling of 129408 in words is "one hundred twenty-nine thousand, four hundred eight".