431776467409 has 9 divisors (see below), whose sum is σ = 502275935241. Its totient is φ = 370090172340.

The previous prime is 431776467383. The next prime is 431776467413. The reversal of 431776467409 is 904764677134.

The square root of 431776467409 is 657097.

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

It is not a de Polignac number, because 431776467409 - 2⁵ = 431776467377 is a prime.

It is a super-3 number, since 3×431776467409³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (431776467469) 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, 4552744 + ... + 4646614.

It is an arithmetic number, because the mean of its divisors is an integer number (55808437249).

Almost surely, 2^431776467409 is an apocalyptic number.

431776467409 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

431776467409 is the 657097-th square number.

431776467409 is the 328549-th centered octagonal number.

It is an amenable number.

431776467409 is a deficient number, since it is larger than the sum of its proper divisors (70499467832).

431776467409 is an frugal number, since it uses more digits than its factorization.

431776467409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187756 (or 93878 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 58.

The spelling of 431776467409 in words is "four hundred thirty-one billion, seven hundred seventy-six million, four hundred sixty-seven thousand, four hundred nine".