129408384 has 128 divisors (see below), whose sum is σ = 405780480. Its totient is φ = 35758080.

The previous prime is 129408347. The next prime is 129408401. The reversal of 129408384 is 483804921.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82552 + ... + 84104.

It is an arithmetic number, because the mean of its divisors is an integer number (3170160).

Almost surely, 2^129408384 is an apocalyptic number.

129408384 is a gapful number since it is divisible by the number (14) 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 129408384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202890240).

129408384 is an abundant number, since it is smaller than the sum of its proper divisors (276372096).

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

129408384 is a wasteful number, since it uses less digits than its factorization.

129408384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 129408384 is about 11375.7805886014. The cubic root of 129408384 is about 505.8100699998.

The spelling of 129408384 in words is "one hundred twenty-nine million, four hundred eight thousand, three hundred eighty-four".