504342243405 has 576 divisors, whose sum is σ = 1233255808512. Its totient is φ = 187338977280.

The previous prime is 504342243373. The next prime is 504342243443.

504342243405 is a `hidden beast` number, since 5 + 0 + 4 + 3 + 4 + 2 + 243 + 405 = 666.

504342243405 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 504342243405 - 2⁵ = 504342243373 is a prime.

It is a super-2 number, since 2×504342243405² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 504342243405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1721304439 + ... + 1721304731.

It is an arithmetic number, because the mean of its divisors is an integer number (2141069112).

Almost surely, 2^504342243405 is an apocalyptic number.

504342243405 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

504342243405 is an abundant number, since it is smaller than the sum of its proper divisors (728913565107).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

504342243405 is a wasteful number, since it uses less digits than its factorization.

504342243405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 504342 and 243405, that added together give a palindrome (747747).

The spelling of 504342243405 in words is "five hundred four billion, three hundred forty-two million, two hundred forty-three thousand, four hundred five".