438340657329 has 27 divisors (see below), whose sum is σ = 636930746283. Its totient is φ = 290496446064.

The previous prime is 438340657283. The next prime is 438340657331. The reversal of 438340657329 is 923756043834.

The square root of 438340657329 is 662073.

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

438340657329 is a `hidden beast` number, since 4 + 3 + 8 + 3 + 40 + 6 + 573 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7085767329 + 431254890000 = 84177^2 + 656700^2 .

It is not a de Polignac number, because 438340657329 - 2¹⁷ = 438340526257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (438340657369) 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, 395257027 + ... + 395258135.

Almost surely, 2^438340657329 is an apocalyptic number.

438340657329 is the 662073-rd square number.

438340657329 is the 331037-th centered octagonal number.

It is an amenable number.

438340657329 is a deficient number, since it is larger than the sum of its proper divisors (198590088954).

438340657329 is an frugal number, since it uses more digits than its factorization.

438340657329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 438340657329 in words is "four hundred thirty-eight billion, three hundred forty million, six hundred fifty-seven thousand, three hundred twenty-nine".