504379973405 has 48 divisors (see below), whose sum is σ = 769646266560. Its totient is φ = 313777497600.

The previous prime is 504379973399. The next prime is 504379973437.

504379973405 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 504379973405 - 2⁶ = 504379973341 is a prime.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1132661 + ... + 1513829.

It is an arithmetic number, because the mean of its divisors is an integer number (16034297220).

Almost surely, 2^504379973405 is an apocalyptic number.

504379973405 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

504379973405 is a deficient number, since it is larger than the sum of its proper divisors (265266293155).

504379973405 is a wasteful number, since it uses less digits than its factorization.

504379973405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381690 (or 381683 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 56.

The spelling of 504379973405 in words is "five hundred four billion, three hundred seventy-nine million, nine hundred seventy-three thousand, four hundred five".