500812416 has 256 divisors, whose sum is σ = 1624492800. Its totient is φ = 150958080.

The previous prime is 500812391. The next prime is 500812451. The reversal of 500812416 is 614218005.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 500812416.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3189810 + ... + 3189966.

It is an arithmetic number, because the mean of its divisors is an integer number (6345675).

Almost surely, 2^500812416 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 500812416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812246400).

500812416 is an abundant number, since it is smaller than the sum of its proper divisors (1123680384).

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

500812416 is a wasteful number, since it uses less digits than its factorization.

500812416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 500812416 is about 22378.8385757617. The cubic root of 500812416 is about 794.1301700393.

It can be divided in two parts, 5008 and 12416, that added together give a square (17424 = 132²).

The spelling of 500812416 in words is "five hundred million, eight hundred twelve thousand, four hundred sixteen".