396304243729 has 27 divisors (see below), whose sum is σ = 444539048817. Its totient is φ = 353179755648.

The previous prime is 396304243721. The next prime is 396304243781. The reversal of 396304243729 is 927342403693.

The square root of 396304243729 is 629527.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 135236385025 + 261067858704 = 367745^2 + 510948^2 .

It is not a de Polignac number, because 396304243729 - 2³ = 396304243721 is a prime.

It is a super-2 number, since 2×396304243729² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (396304243721) 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 26 ways as a sum of consecutive naturals, for example, 203336247 + ... + 203338195.

Almost surely, 2^396304243729 is an apocalyptic number.

396304243729 is the 629527-th square number.

396304243729 is the 314764-th centered octagonal number.

It is an amenable number.

396304243729 is a deficient number, since it is larger than the sum of its proper divisors (48234805088).

396304243729 is an frugal number, since it uses more digits than its factorization.

396304243729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3970 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 52.

The spelling of 396304243729 in words is "three hundred ninety-six billion, three hundred four million, two hundred forty-three thousand, seven hundred twenty-nine".