296400758329 has 9 divisors (see below), whose sum is σ = 320962331343. Its totient is φ = 273594166872.

The previous prime is 296400758323. The next prime is 296400758363. The reversal of 296400758329 is 923857004692.

The square root of 296400758329 is 544427.

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

It can be written as a sum of positive squares in only one way, i.e., 43846266025 + 252554492304 = 209395^2 + 502548^2 .

It is not a de Polignac number, because 296400758329 - 2¹³ = 296400750137 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 296400758329.

It is not an unprimeable number, because it can be changed into a prime (296400758323) 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 8 ways as a sum of consecutive naturals, for example, 7056612 + ... + 7098490.

Almost surely, 2^296400758329 is an apocalyptic number.

296400758329 is the 544427-th square number.

296400758329 is the 272214-th centered octagonal number.

It is an amenable number.

296400758329 is a deficient number, since it is larger than the sum of its proper divisors (24561573014).

296400758329 is an frugal number, since it uses more digits than its factorization.

296400758329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83784 (or 41892 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

It can be divided in two parts, 296400 and 758329, that added together give a square (1054729 = 1027²).

The spelling of 296400758329 in words is "two hundred ninety-six billion, four hundred million, seven hundred fifty-eight thousand, three hundred twenty-nine".