506545984 has 56 divisors (see below), whose sum is σ = 1179860480. Its totient is φ = 211216896.

The previous prime is 506545981. The next prime is 506546011. The reversal of 506545984 is 489545605.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506545981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1297 + ... + 31855.

Almost surely, 2^506545984 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 506545984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589930240).

506545984 is an abundant number, since it is smaller than the sum of its proper divisors (673314496).

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

506545984 is a wasteful number, since it uses less digits than its factorization.

506545984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30615 (or 30605 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 46.

The square root of 506545984 is about 22506.5764611146. The cubic root of 506545984 is about 797.1492200505.

The spelling of 506545984 in words is "five hundred six million, five hundred forty-five thousand, nine hundred eighty-four".