503648640 has 192 divisors, whose sum is σ = 1897506000. Its totient is φ = 122081280.

The previous prime is 503648627. The next prime is 503648657. The reversal of 503648640 is 46846305.

503648640 is a `hidden beast` number, since 5 + 0 + 3 + 6 + 4 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 503648595 and 503648604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59386 + ... + 67334.

Almost surely, 2^503648640 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 503648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948753000).

503648640 is an abundant number, since it is smaller than the sum of its proper divisors (1393857360).

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

503648640 is a wasteful number, since it uses less digits than its factorization.

503648640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7985 (or 7970 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 503648640 is about 22442.1175471478. The cubic root of 503648640 is about 795.6264671674.

The spelling of 503648640 in words is "five hundred three million, six hundred forty-eight thousand, six hundred forty".