500505984 has 192 divisors, whose sum is σ = 1588654080. Its totient is φ = 149990400.

The previous prime is 500505949. The next prime is 500505991. The reversal of 500505984 is 489505005.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1609189 + ... + 1609499.

It is an arithmetic number, because the mean of its divisors is an integer number (8274240).

Almost surely, 2^500505984 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 500505984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794327040).

500505984 is an abundant number, since it is smaller than the sum of its proper divisors (1088148096).

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

500505984 is a wasteful number, since it uses less digits than its factorization.

500505984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 500505984 is about 22371.9910602521. The cubic root of 500505984 is about 793.9681689003.

The spelling of 500505984 in words is "five hundred million, five hundred five thousand, nine hundred eighty-four".