504464464405 has 12 divisors (see below), whose sum is σ = 665392798476. Its totient is φ = 366883246400.

The previous prime is 504464464397. The next prime is 504464464417.

504464464405 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 117627734961 + 386836729444 = 342969^2 + 621962^2 .

It is not a de Polignac number, because 504464464405 - 2³ = 504464464397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 416912176 + ... + 416913385.

It is an arithmetic number, because the mean of its divisors is an integer number (55449399873).

Almost surely, 2^504464464405 is an apocalyptic number.

504464464405 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

504464464405 is a deficient number, since it is larger than the sum of its proper divisors (160928334071).

504464464405 is a wasteful number, since it uses less digits than its factorization.

504464464405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833825588 (or 833825577 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 46.

It can be divided in two parts, 504464 and 464405, that added together give a palindrome (968869).

The spelling of 504464464405 in words is "five hundred four billion, four hundred sixty-four million, four hundred sixty-four thousand, four hundred five".