503938368 has 112 divisors (see below), whose sum is σ = 1559560000. Its totient is φ = 159128064.

The previous prime is 503938313. The next prime is 503938403. The reversal of 503938368 is 863839305.

503938368 is a `hidden beast` number, since 503 + 9 + 3 + 83 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 25158 + ... + 40506.

Almost surely, 2^503938368 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 503938368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779780000).

503938368 is an abundant number, since it is smaller than the sum of its proper divisors (1055621632).

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

503938368 is a wasteful number, since it uses less digits than its factorization.

503938368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15389 (or 15373 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 503938368 is about 22448.5716249386. The cubic root of 503938368 is about 795.7790014667.

The spelling of 503938368 in words is "five hundred three million, nine hundred thirty-eight thousand, three hundred sixty-eight".