729960384 has 112 divisors (see below), whose sum is σ = 2058789888. Its totient is φ = 227724288.

The previous prime is 729960359. The next prime is 729960397. The reversal of 729960384 is 483069927.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205794 + ... + 209310.

Almost surely, 2^729960384 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 729960384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029394944).

729960384 is an abundant number, since it is smaller than the sum of its proper divisors (1328829504).

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

729960384 is a wasteful number, since it uses less digits than its factorization.

729960384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602 (or 3592 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 729960384 is about 27017.7790352945. The cubic root of 729960384 is about 900.3950463259.

The spelling of 729960384 in words is "seven hundred twenty-nine million, nine hundred sixty thousand, three hundred eighty-four".