507984 has 40 divisors (see below), whose sum is σ = 1383840. Its totient is φ = 160128.

The previous prime is 507979. The next prime is 508009. The reversal of 507984 is 489705.

It is a congruent number.

It is an unprimeable number.

507984 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 634 + ... + 1190.

It is an arithmetic number, because the mean of its divisors is an integer number (34596).

2⁵⁰⁷⁹⁸⁴ 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 507984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691920).

507984 is an abundant number, since it is smaller than the sum of its proper divisors (875856).

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

507984 is a wasteful number, since it uses less digits than its factorization.

507984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 507984 is about 712.7299628892. The cubic root of 507984 is about 79.7902840540.

The spelling of 507984 in words is "five hundred seven thousand, nine hundred eighty-four".