729188460 has 768 divisors, whose sum is σ = 3251404800. Its totient is φ = 130636800.

The previous prime is 729188437. The next prime is 729188461. The reversal of 729188460 is 64881927.

729188460 is a `hidden beast` number, since 7 + 2 + 9 + 188 + 460 = 666.

729188460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (729188461) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10270225 + ... + 10270295.

It is an arithmetic number, because the mean of its divisors is an integer number (4233600).

Almost surely, 2^729188460 is an apocalyptic number.

729188460 is a gapful number since it is divisible by the number (70) 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 729188460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625702400).

729188460 is an abundant number, since it is smaller than the sum of its proper divisors (2522216340).

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

729188460 is a wasteful number, since it uses less digits than its factorization.

729188460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 729188460 is about 27003.4897744717. The cubic root of 729188460 is about 900.0775488733.

The spelling of 729188460 in words is "seven hundred twenty-nine million, one hundred eighty-eight thousand, four hundred sixty".