431684478729 has 45 divisors (see below), whose sum is σ = 750217526487. Its totient is φ = 246653192016.

The previous prime is 431684478679. The next prime is 431684478733. The reversal of 431684478729 is 927874486134.

The square root of 431684478729 is 657027.

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

431684478729 is a `hidden beast` number, since 4 + 3 + 16 + 84 + 478 + 72 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 427555131129 + 4129347600 = 653877^2 + 64260^2 .

It is not a de Polignac number, because 431684478729 - 2¹¹ = 431684476681 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (431684478769) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 41387487 + ... + 41397915.

Almost surely, 2^431684478729 is an apocalyptic number.

431684478729 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

431684478729 is the 657027-th square number.

431684478729 is the 328514-th centered octagonal number.

It is an amenable number.

431684478729 is a deficient number, since it is larger than the sum of its proper divisors (318533047758).

431684478729 is an frugal number, since it uses more digits than its factorization.

431684478729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20884 (or 10439 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 431684478729 in words is "four hundred thirty-one billion, six hundred eighty-four million, four hundred seventy-eight thousand, seven hundred twenty-nine".