503840768 has 60 divisors (see below), whose sum is σ = 1041234975. Its totient is φ = 243793920.

The previous prime is 503840741. The next prime is 503840791. The reversal of 503840768 is 867048305.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 251920384 + 251920384 = 15872^2 + 15872^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=15872.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 16252913 + ... + 16252943.

Almost surely, 2^503840768 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 503840768

503840768 is an abundant number, since it is smaller than the sum of its proper divisors (537394207).

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

503840768 is an frugal number, since it uses more digits than its factorization.

503840768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 503840768 is about 22446.3976619858. The cubic root of 503840768 is about 795.7276241224.

The spelling of 503840768 in words is "five hundred three million, eight hundred forty thousand, seven hundred sixty-eight".