729460933400 has 48 divisors (see below), whose sum is σ = 1697962305600. Its totient is φ = 291446199680.

The previous prime is 729460933349. The next prime is 729460933427. The reversal of 729460933400 is 4339064927.

It is a happy number.

It is a super-2 number, since 2×729460933400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1940555 + ... + 2285754.

It is an arithmetic number, because the mean of its divisors is an integer number (35374214700).

Almost surely, 2^729460933400 is an apocalyptic number.

It is an amenable number.

729460933400 is an abundant number, since it is smaller than the sum of its proper divisors (968501372200).

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

729460933400 is a wasteful number, since it uses less digits than its factorization.

729460933400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4227188 (or 4227179 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 47.

The spelling of 729460933400 in words is "seven hundred twenty-nine billion, four hundred sixty million, nine hundred thirty-three thousand, four hundred".