506589020 has 144 divisors (see below), whose sum is σ = 1322979840. Its totient is φ = 159159168.

The previous prime is 506588959. The next prime is 506589029. The reversal of 506589020 is 20985605.

Together with 816390819 it forms a betrothed pair.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506589029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4918289 + ... + 4918391.

It is an arithmetic number, because the mean of its divisors is an integer number (9187360).

Almost surely, 2^506589020 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 506589020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661489920).

506589020 is an abundant number, since it is smaller than the sum of its proper divisors (816390820).

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

506589020 is a wasteful number, since it uses less digits than its factorization.

506589020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 506589020 is about 22507.5325169153. The cubic root of 506589020 is about 797.1717946001.

The spelling of 506589020 in words is "five hundred six million, five hundred eighty-nine thousand, twenty".