506480 has 40 divisors (see below), whose sum is σ = 1270752. Its totient is φ = 186624.

The previous prime is 506479. The next prime is 506491. The reversal of 506480 is 84605.

It is a tau number, because it is divible by the number of its divisors (40).

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 506480.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 797 + ... + 1283.

2⁵⁰⁶⁴⁸⁰ 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 506480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635376).

506480 is an abundant number, since it is smaller than the sum of its proper divisors (764272).

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

506480 is a wasteful number, since it uses less digits than its factorization.

506480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 506480 is about 711.6740827092. The cubic root of 506480 is about 79.7114605636.

Subtracting from 506480 its reverse (84605), we obtain a cube (421875 = 75³).

The spelling of 506480 in words is "five hundred six thousand, four hundred eighty".