503688096 has 144 divisors (see below), whose sum is σ = 1479389184. Its totient is φ = 162473472.

The previous prime is 503688091. The next prime is 503688103. The reversal of 503688096 is 690886305.

503688096 is a `hidden beast` number, since 503 + 68 + 80 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (503688091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1718926 + ... + 1719218.

It is an arithmetic number, because the mean of its divisors is an integer number (10273536).

Almost surely, 2^503688096 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 503688096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739694592).

503688096 is an abundant number, since it is smaller than the sum of its proper divisors (975701088).

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

503688096 is a wasteful number, since it uses less digits than its factorization.

503688096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 503688096 is about 22442.9965913645. The cubic root of 503688096 is about 795.6472431712.

The spelling of 503688096 in words is "five hundred three million, six hundred eighty-eight thousand, ninety-six".