500438080 has 56 divisors (see below), whose sum is σ = 1195349400. Its totient is φ = 199557120.

The previous prime is 500438063. The next prime is 500438143. The reversal of 500438080 is 80834005.

It can be written as a sum of positive squares in 4 ways, for example, as 157151296 + 343286784 = 12536^2 + 18528^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109440 + ... + 113920.

It is an arithmetic number, because the mean of its divisors is an integer number (21345525).

Almost surely, 2^500438080 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 500438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597674700).

500438080 is an abundant number, since it is smaller than the sum of its proper divisors (694911320).

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

500438080 is a wasteful number, since it uses less digits than its factorization.

500438080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4847 (or 4837 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 500438080 is about 22370.4733968685. The cubic root of 500438080 is about 793.9322612025.

It can be divided in two parts, 500 and 438080, that multiplied together give a square (219040000 = 14800²).

The spelling of 500438080 in words is "five hundred million, four hundred thirty-eight thousand, eighty".