506496 has 32 divisors (see below), whose sum is σ = 1346400. Its totient is φ = 168704.

The previous prime is 506491. The next prime is 506501. The reversal of 506496 is 694605.

506496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (506491) and next prime (506501).

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (506491) by changing a digit.

506496 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 276 + ... + 1043.

It is an arithmetic number, because the mean of its divisors is an integer number (42075).

2⁵⁰⁶⁴⁹⁶ is an apocalyptic number.

It is an amenable number.

506496 is an abundant number, since it is smaller than the sum of its proper divisors (839904).

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

506496 is a wasteful number, since it uses less digits than its factorization.

506496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 506496 is about 711.6853237211. The cubic root of 506496 is about 79.7122999320.

The spelling of 506496 in words is "five hundred six thousand, four hundred ninety-six".