506531792 has 80 divisors (see below), whose sum is σ = 1129719360. Its totient is φ = 218059776.

The previous prime is 506531747. The next prime is 506531797. The reversal of 506531792 is 297135605.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506531797) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263828 + ... + 265740.

It is an arithmetic number, because the mean of its divisors is an integer number (14121492).

Almost surely, 2^506531792 is an apocalyptic number.

506531792 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506531792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564859680).

506531792 is an abundant number, since it is smaller than the sum of its proper divisors (623187568).

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

506531792 is a wasteful number, since it uses less digits than its factorization.

506531792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 38.

The square root of 506531792 is about 22506.2611732824. The cubic root of 506531792 is about 797.1417753513.

The spelling of 506531792 in words is "five hundred six million, five hundred thirty-one thousand, seven hundred ninety-two".