504680 has 64 divisors (see below), whose sum is σ = 1313280. Its totient is φ = 172800.

The previous prime is 504677. The next prime is 504683. The reversal of 504680 is 86405.

It is an interprime number because it is at equal distance from previous prime (504677) and next prime (504683).

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 (504683) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13622 + ... + 13658.

It is an arithmetic number, because the mean of its divisors is an integer number (20520).

2⁵⁰⁴⁶⁸⁰ 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 504680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656640).

504680 is an abundant number, since it is smaller than the sum of its proper divisors (808600).

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

504680 is a wasteful number, since it uses less digits than its factorization.

504680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 86 counting only the distinct ones).

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

The square root of 504680 is about 710.4083332845. The cubic root of 504680 is about 79.6169185354.

The spelling of 504680 in words is "five hundred four thousand, six hundred eighty".