504545405 has 48 divisors (see below), whose sum is σ = 764069040. Its totient is φ = 317011968.

The previous prime is 504545401. The next prime is 504545417.

504545405 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 104305369 + 400240036 = 10213^2 + 20006^2 .

It is not a de Polignac number, because 504545405 - 2² = 504545401 is a prime.

It is a super-2 number, since 2×504545405² = 509132131413228050, which contains 22 as substring.

504545405 is a modest number, since divided by 45405 gives 5045 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504545401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 499541 + ... + 500549.

It is an arithmetic number, because the mean of its divisors is an integer number (15918105).

Almost surely, 2^504545405 is an apocalyptic number.

It is an amenable number.

504545405 is a deficient number, since it is larger than the sum of its proper divisors (259523635).

504545405 is a wasteful number, since it uses less digits than its factorization.

504545405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 32.

The square root of 504545405 is about 22462.0881709604. The cubic root of 504545405 is about 796.0984012801.

Adding to 504545405 its product of nonzero digits (40000), we get a palindrome (504585405).

Subtracting from 504545405 its product of nonzero digits (40000), we obtain a palindrome (504505405).

It can be divided in two parts, 5045 and 45405, that multiplied together give a square (229068225 = 15135²).

The spelling of 504545405 in words is "five hundred four million, five hundred forty-five thousand, four hundred five".