729085461 has 32 divisors (see below), whose sum is σ = 1104915840. Its totient is φ = 423926784.

The previous prime is 729085453. The next prime is 729085463. The reversal of 729085461 is 164580927.

It is not a de Polignac number, because 729085461 - 2³ = 729085453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729085463) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 337561 + ... + 339713.

It is an arithmetic number, because the mean of its divisors is an integer number (34528620).

Almost surely, 2^729085461 is an apocalyptic number.

It is an amenable number.

729085461 is a deficient number, since it is larger than the sum of its proper divisors (375830379).

729085461 is a wasteful number, since it uses less digits than its factorization.

729085461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645.

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 729085461 is about 27001.5825647313. The cubic root of 729085461 is about 900.0351677616.

The spelling of 729085461 in words is "seven hundred twenty-nine million, eighty-five thousand, four hundred sixty-one".