506391984 has 120 divisors (see below), whose sum is σ = 1659289632. Its totient is φ = 141143040.

The previous prime is 506391973. The next prime is 506392001. The reversal of 506391984 is 489193605.

It is a happy number.

506391984 is a `hidden beast` number, since 5 + 0 + 639 + 1 + 9 + 8 + 4 = 666.

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 23 ways as a sum of consecutive naturals, for example, 35202 + ... + 47454.

Almost surely, 2^506391984 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 506391984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829644816).

506391984 is an abundant number, since it is smaller than the sum of its proper divisors (1152897648).

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

506391984 is a wasteful number, since it uses less digits than its factorization.

506391984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12315 (or 12306 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 506391984 is about 22503.1549788024. The cubic root of 506391984 is about 797.0684288183.

The spelling of 506391984 in words is "five hundred six million, three hundred ninety-one thousand, nine hundred eighty-four".