504712 has 32 divisors (see below), whose sum is σ = 1068480. Its totient is φ = 221760.

The previous prime is 504683. The next prime is 504727. The reversal of 504712 is 217405.

504712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (19) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 504712.

It is an unprimeable number.

504712 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 7 ways as a sum of consecutive naturals, for example, 2287 + ... + 2497.

It is an arithmetic number, because the mean of its divisors is an integer number (33390).

2⁵⁰⁴⁷¹² is an apocalyptic number.

504712 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534240).

504712 is an abundant number, since it is smaller than the sum of its proper divisors (563768).

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

504712 is a wasteful number, since it uses less digits than its factorization.

504712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 504712 is about 710.4308551858. The cubic root of 504712 is about 79.6186012436.

The spelling of 504712 in words is "five hundred four thousand, seven hundred twelve".