129804444 has 240 divisors, whose sum is σ = 436482816. Its totient is φ = 32931360.

The previous prime is 129804427. The next prime is 129804449. The reversal of 129804444 is 444408921.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 129804399 and 129804408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129804449) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3018687 + ... + 3018729.

Almost surely, 2^129804444 is an apocalyptic number.

129804444 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 129804444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218241408).

129804444 is an abundant number, since it is smaller than the sum of its proper divisors (306678372).

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

129804444 is a wasteful number, since it uses less digits than its factorization.

129804444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 129804444 is about 11393.1753256061. The cubic root of 129804444 is about 506.3255623836.

It can be divided in two parts, 12980 and 4444, that added together give a square (17424 = 132²).

The spelling of 129804444 in words is "one hundred twenty-nine million, eight hundred four thousand, four hundred forty-four".