729966401 has 4 divisors (see below), whose sum is σ = 730024404. Its totient is φ = 729908400.

The previous prime is 729966389. The next prime is 729966437. The reversal of 729966401 is 104669927.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 104669927 = 227 ⋅461101.

It can be written as a sum of positive squares in 2 ways, for example, as 16008001 + 713958400 = 4001^2 + 26720^2 .

It is a cyclic number.

It is not a de Polignac number, because 729966401 - 2¹⁴ = 729950017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (729966481) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1310 + ... + 38231.

It is an arithmetic number, because the mean of its divisors is an integer number (182506101).

Almost surely, 2^729966401 is an apocalyptic number.

It is an amenable number.

729966401 is a deficient number, since it is larger than the sum of its proper divisors (58003).

729966401 is a wasteful number, since it uses less digits than its factorization.

729966401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58002.

The product of its (nonzero) digits is 163296, while the sum is 44.

The square root of 729966401 is about 27017.8903876672. The cubic root of 729966401 is about 900.3975202785.

It can be divided in two parts, 72996 and 6401, that added together give a palindrome (79397).

The spelling of 729966401 in words is "seven hundred twenty-nine million, nine hundred sixty-six thousand, four hundred one".