503116416 has 96 divisors (see below), whose sum is σ = 1579425120. Its totient is φ = 152455680.

The previous prime is 503116403. The next prime is 503116433. The reversal of 503116416 is 614611305.

503116416 is a `hidden beast` number, since 5 + 0 + 3 + 11 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×503116416² = 506252256097370112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 503116416.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7180 + ... + 32523.

It is an arithmetic number, because the mean of its divisors is an integer number (16452345).

Almost surely, 2^503116416 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 503116416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789712560).

503116416 is an abundant number, since it is smaller than the sum of its proper divisors (1076308704).

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

503116416 is a wasteful number, since it uses less digits than its factorization.

503116416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39734 (or 39719 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 503116416 is about 22430.2567082947. The cubic root of 503116416 is about 795.3461124956.

The spelling of 503116416 in words is "five hundred three million, one hundred sixteen thousand, four hundred sixteen".