729480960 has 216 divisors, whose sum is σ = 2718634464. Its totient is φ = 179527680.

The previous prime is 729480959. The next prime is 729481007. The reversal of 729480960 is 69084927.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147325 + ... + 152195.

Almost surely, 2^729480960 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 729480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359317232).

729480960 is an abundant number, since it is smaller than the sum of its proper divisors (1989153504).

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

729480960 is a wasteful number, since it uses less digits than its factorization.

729480960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4911 (or 4894 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 729480960 is about 27008.9051981009. The cubic root of 729480960 is about 900.1978824145.

The spelling of 729480960 in words is "seven hundred twenty-nine million, four hundred eighty thousand, nine hundred sixty".