500958720 has 240 divisors, whose sum is σ = 1838453760. Its totient is φ = 125632512.

The previous prime is 500958709. The next prime is 500958727. The reversal of 500958720 is 27859005.

500958720 is a `hidden beast` number, since 50 + 0 + 9 + 587 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500958727) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 391041 + ... + 392319.

It is an arithmetic number, because the mean of its divisors is an integer number (7660224).

Almost surely, 2^500958720 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 500958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919226880).

500958720 is an abundant number, since it is smaller than the sum of its proper divisors (1337495040).

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

500958720 is a wasteful number, since it uses less digits than its factorization.

500958720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 500958720 is about 22382.1071394094. The cubic root of 500958720 is about 794.2074931412.

The spelling of 500958720 in words is "five hundred million, nine hundred fifty-eight thousand, seven hundred twenty".