504494692416 has 1120 divisors, whose sum is σ = 1878619438080. Its totient is φ = 131681894400.

The previous prime is 504494692411. The next prime is 504494692417. The reversal of 504494692416 is 614296494405.

504494692416 is a `hidden beast` number, since 50 + 4 + 4 + 94 + 6 + 92 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (504494692411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 666439110 + ... + 666439866.

It is an arithmetic number, because the mean of its divisors is an integer number (1677338784).

Almost surely, 2^504494692416 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 504494692416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939309719040).

504494692416 is an abundant number, since it is smaller than the sum of its proper divisors (1374124745664).

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

504494692416 is a wasteful number, since it uses less digits than its factorization.

504494692416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 504494692416 in words is "five hundred four billion, four hundred ninety-four million, six hundred ninety-two thousand, four hundred sixteen".