729364460 has 48 divisors (see below), whose sum is σ = 1676505600. Its totient is φ = 264335040.

The previous prime is 729364417. The next prime is 729364463. The reversal of 729364460 is 64463927.

It is a super-2 number, since 2×729364460² = 1063945031022183200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (729364463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62141 + ... + 72939.

It is an arithmetic number, because the mean of its divisors is an integer number (34927200).

Almost surely, 2^729364460 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 729364460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838252800).

729364460 is an abundant number, since it is smaller than the sum of its proper divisors (947141140).

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

729364460 is a wasteful number, since it uses less digits than its factorization.

729364460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11126 (or 11124 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 41.

The square root of 729364460 is about 27006.7484159052. The cubic root of 729364460 is about 900.1499585515.

The spelling of 729364460 in words is "seven hundred twenty-nine million, three hundred sixty-four thousand, four hundred sixty".