504779304960 has 1248 divisors, whose sum is σ = 2146697280000. Its totient is φ = 107145068544.

The previous prime is 504779304919. The next prime is 504779304977. The reversal of 504779304960 is 69403977405.

It is a happy number.

504779304960 is a `hidden beast` number, since 50 + 4 + 7 + 79 + 30 + 496 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 504779304897 and 504779304906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1446358866 + ... + 1446359214.

It is an arithmetic number, because the mean of its divisors is an integer number (1720110000).

Almost surely, 2^504779304960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504779304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073348640000).

504779304960 is an abundant number, since it is smaller than the sum of its proper divisors (1641917975040).

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

504779304960 is a wasteful number, since it uses less digits than its factorization.

504779304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 504779304960 in words is "five hundred four billion, seven hundred seventy-nine million, three hundred four thousand, nine hundred sixty".