431789609449 has 81 divisors (see below), whose sum is σ = 513591379959. Its totient is φ = 362723064000.

The previous prime is 431789609443. The next prime is 431789609473. The reversal of 431789609449 is 944906987134.

The square root of 431789609449 is 657107.

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., 20806043049 + 410983566400 = 144243^2 + 641080^2 .

It is not a de Polignac number, because 431789609449 - 2¹⁵ = 431789576681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (431789609443) 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 80 ways as a sum of consecutive naturals, for example, 9187012944 + ... + 9187012990.

Almost surely, 2^431789609449 is an apocalyptic number.

431789609449 is the 657107-th square number.

431789609449 is the 328554-th centered octagonal number.

It is an amenable number.

431789609449 is a deficient number, since it is larger than the sum of its proper divisors (81801770510).

431789609449 is an equidigital number, since it uses as much as digits as its factorization.

431789609449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 64.

Multiplying 431789609449 by its sum of digits (64), we get a square (27634535004736 = 5256856²).

The spelling of 431789609449 in words is "four hundred thirty-one billion, seven hundred eighty-nine million, six hundred nine thousand, four hundred forty-nine".