500938272 has 72 divisors (see below), whose sum is σ = 1434101760. Its totient is φ = 165859200.

The previous prime is 500938271. The next prime is 500938313. The reversal of 500938272 is 272839005.

It is a happy number.

500938272 is a `hidden beast` number, since 500 + 9 + 3 + 82 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (500938271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37729 + ... + 49247.

It is an arithmetic number, because the mean of its divisors is an integer number (19918080).

Almost surely, 2^500938272 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 500938272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717050880).

500938272 is an abundant number, since it is smaller than the sum of its proper divisors (933163488).

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

500938272 is a wasteful number, since it uses less digits than its factorization.

500938272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11686 (or 11675 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 500938272 is about 22381.6503412952. The cubic root of 500938272 is about 794.1966870773.

The spelling of 500938272 in words is "five hundred million, nine hundred thirty-eight thousand, two hundred seventy-two".