461479738329 has 27 divisors (see below), whose sum is σ = 672248880693. Its totient is φ = 305059503672.

The previous prime is 461479738297. The next prime is 461479738333. The reversal of 461479738329 is 923837974164.

The square root of 461479738329 is 679323.

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

461479738329 is a `hidden beast` number, since 4 + 6 + 147 + 97 + 383 + 29 = 666.

It is not a de Polignac number, because 461479738329 - 2⁵ = 461479738297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (461479738429) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 258821172 + ... + 258822954.

Almost surely, 2^461479738329 is an apocalyptic number.

461479738329 is the 679323-rd square number.

461479738329 is the 339662-nd centered octagonal number.

It is an amenable number.

461479738329 is a deficient number, since it is larger than the sum of its proper divisors (210769142364).

461479738329 is an frugal number, since it uses more digits than its factorization.

461479738329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3826 (or 1913 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The spelling of 461479738329 in words is "four hundred sixty-one billion, four hundred seventy-nine million, seven hundred thirty-eight thousand, three hundred twenty-nine".