729460944 has 160 divisors (see below), whose sum is σ = 2168432640. Its totient is φ = 234638208.

The previous prime is 729460943. The next prime is 729460981. The reversal of 729460944 is 449064927.

729460944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×729460944² = 1064226537642742272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 729460944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729460943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1987449 + ... + 1987815.

It is an arithmetic number, because the mean of its divisors is an integer number (13552704).

Almost surely, 2^729460944 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 729460944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084216320).

729460944 is an abundant number, since it is smaller than the sum of its proper divisors (1438971696).

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

729460944 is a wasteful number, since it uses less digits than its factorization.

729460944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 729460944 is about 27008.5346511061. The cubic root of 729460944 is about 900.1896489231.

The spelling of 729460944 in words is "seven hundred twenty-nine million, four hundred sixty thousand, nine hundred forty-four".