503630496 has 72 divisors (see below), whose sum is σ = 1438111584. Its totient is φ = 167184000.

The previous prime is 503630483. The next prime is 503630497. The reversal of 503630496 is 694036305.

503630496 is a `hidden beast` number, since 503 + 63 + 0 + 4 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 503630496.

It is not an unprimeable number, because it can be changed into a prime (503630497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68805 + ... + 75771.

It is an arithmetic number, because the mean of its divisors is an integer number (19973772).

Almost surely, 2^503630496 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 503630496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719055792).

503630496 is an abundant number, since it is smaller than the sum of its proper divisors (934481088).

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

503630496 is a wasteful number, since it uses less digits than its factorization.

503630496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7234 (or 7223 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 503630496 is about 22441.7133035782. The cubic root of 503630496 is about 795.6169128744.

The spelling of 503630496 in words is "five hundred three million, six hundred thirty thousand, four hundred ninety-six".