129484800 has 216 divisors, whose sum is σ = 465380370. Its totient is φ = 34406400.

The previous prime is 129484787. The next prime is 129484807. The reversal of 129484800 is 8484921.

It can be written as a sum of positive squares in 3 ways, for example, as 105513984 + 23970816 = 10272^2 + 4896^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (129484807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 460660 + ... + 460940.

Almost surely, 2^129484800 is an apocalyptic number.

129484800 is a gapful number since it is divisible by the number (10) 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 129484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232690185).

129484800 is an abundant number, since it is smaller than the sum of its proper divisors (335895570).

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

129484800 is a wasteful number, since it uses less digits than its factorization.

129484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 129484800 is about 11379.1388074845. The cubic root of 129484800 is about 505.9096111464.

The spelling of 129484800 in words is "one hundred twenty-nine million, four hundred eighty-four thousand, eight hundred".