500928330240 has 1920 divisors, whose sum is σ = 2117109139200. Its totient is φ = 111795240960.

The previous prime is 500928330229. The next prime is 500928330251. The reversal of 500928330240 is 42033829005.

500928330240 is a `hidden beast` number, since 500 + 9 + 2 + 83 + 30 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (500928330229) and next prime (500928330251).

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 500928330195 and 500928330204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8211939810 + ... + 8211939870.

It is an arithmetic number, because the mean of its divisors is an integer number (1102661010).

Almost surely, 2^500928330240 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 500928330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058554569600).

500928330240 is an abundant number, since it is smaller than the sum of its proper divisors (1616180808960).

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

500928330240 is a wasteful number, since it uses less digits than its factorization.

500928330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 500928330240 in words is "five hundred billion, nine hundred twenty-eight million, three hundred thirty thousand, two hundred forty".