504334464433405 has 8 divisors (see below), whose sum is σ = 640801437162552. Its totient is φ = 379734184985088.

The previous prime is 504334464433351. The next prime is 504334464433441.

504334464433405 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 136181944768804 + 368152519664601 = 11669702^2 + 19187301^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 504334464433405 - 2¹³ = 504334464425213 is a prime.

It is a super-3 number, since 3×504334464433405³ (a number of 45 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 2966673320112 + ... + 2966673320281.

It is an arithmetic number, because the mean of its divisors is an integer number (80100179645319).

Almost surely, 2^{504334464433405} is an apocalyptic number.

It is an amenable number.

504334464433405 is a deficient number, since it is larger than the sum of its proper divisors (136466972729147).

504334464433405 is a wasteful number, since it uses less digits than its factorization.

504334464433405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5933346640415.

The product of its (nonzero) digits is 49766400, while the sum is 52.

The spelling of 504334464433405 in words is "five hundred four trillion, three hundred thirty-four billion, four hundred sixty-four million, four hundred thirty-three thousand, four hundred five".