506484 has 36 divisors (see below), whose sum is σ = 1397760. Its totient is φ = 153360.

The previous prime is 506479. The next prime is 506491. The reversal of 506484 is 484605.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 506484.

It is an unprimeable number.

506484 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 11 ways as a sum of consecutive naturals, for example, 244 + ... + 1035.

2⁵⁰⁶⁴⁸⁴ is an apocalyptic number.

It is an amenable number.

506484 is an abundant number, since it is smaller than the sum of its proper divisors (891276).

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

506484 is a wasteful number, since it uses less digits than its factorization.

506484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 506484 is about 711.6768929788. The cubic root of 506484 is about 79.7116704073.

It can be divided in two parts, 506 and 484, that added together give a triangular number (990 = T₄₄).

The spelling of 506484 in words is "five hundred six thousand, four hundred eighty-four".