504406681 has 9 divisors (see below), whose sum is σ = 519263199. Its totient is φ = 489965544.

The previous prime is 504406631. The next prime is 504406697. The reversal of 504406681 is 186604405.

The square root of 504406681 is 22459.

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., 451350025 + 53056656 = 21245^2 + 7284^2 .

It is not a de Polignac number, because 504406681 - 2¹¹ = 504404633 is a prime.

It is a super-2 number, since 2×504406681² = 508852199674871522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (504406601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 830680 + ... + 831286.

It is an arithmetic number, because the mean of its divisors is an integer number (57695911).

Almost surely, 2^504406681 is an apocalyptic number.

504406681 is the 22459-th square number.

504406681 is the 11230-th centered octagonal number.

It is an amenable number.

504406681 is a deficient number, since it is larger than the sum of its proper divisors (14856518).

504406681 is an frugal number, since it uses more digits than its factorization.

504406681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The cubic root of 504406681 is about 796.0254325729.

It can be divided in two parts, 50440 and 6681, that added together give a square (57121 = 239²).

The spelling of 504406681 in words is "five hundred four million, four hundred six thousand, six hundred eighty-one".