506912 has 48 divisors (see below), whose sum is σ = 1193472. Its totient is φ = 207360.

The previous prime is 506911. The next prime is 506929. The reversal of 506912 is 219605.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (506911) 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, 6908 + ... + 6980.

It is an arithmetic number, because the mean of its divisors is an integer number (24864).

2⁵⁰⁶⁹¹² 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 506912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596736).

506912 is an abundant number, since it is smaller than the sum of its proper divisors (686560).

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

506912 is a wasteful number, since it uses less digits than its factorization.

506912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 506912 is about 711.9775277353. The cubic root of 506912 is about 79.7341173089.

The spelling of 506912 in words is "five hundred six thousand, nine hundred twelve".