500961984 has 112 divisors (see below), whose sum is σ = 1448994816. Its totient is φ = 152064000.

The previous prime is 500961983. The next prime is 500962019. The reversal of 500961984 is 489169005.

It is not an unprimeable number, because it can be changed into a prime (500961983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98709 + ... + 103659.

Almost surely, 2^500961984 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 500961984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724497408).

500961984 is an abundant number, since it is smaller than the sum of its proper divisors (948032832).

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

500961984 is a wasteful number, since it uses less digits than its factorization.

500961984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5014 (or 5004 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 500961984 is about 22382.1800546774. The cubic root of 500961984 is about 794.2092180256.

The spelling of 500961984 in words is "five hundred million, nine hundred sixty-one thousand, nine hundred eighty-four".