505016736 has 144 divisors (see below), whose sum is σ = 1551541824. Its totient is φ = 143829504.

The previous prime is 505016711. The next prime is 505016747. The reversal of 505016736 is 637610505.

It is a junction number, because it is equal to n+sod(n) for n = 505016697 and 505016706.

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, 1613316 + ... + 1613628.

It is an arithmetic number, because the mean of its divisors is an integer number (10774596).

Almost surely, 2^505016736 is an apocalyptic number.

505016736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505016736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775770912).

505016736 is an abundant number, since it is smaller than the sum of its proper divisors (1046525088).

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

505016736 is an frugal number, since it uses more digits than its factorization.

505016736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 505016736 is about 22472.5774222718. The cubic root of 505016736 is about 796.3462211135.

The spelling of 505016736 in words is "five hundred five million, sixteen thousand, seven hundred thirty-six".