504084 has 48 divisors (see below), whose sum is σ = 1427328. Its totient is φ = 135168.

The previous prime is 504073. The next prime is 504103. The reversal of 504084 is 480405.

504084 = T₃₇₆ + T₃₇₇ + ... + T₃₈₂.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 504084.

It is a congruent number.

It is an unprimeable number.

504084 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 15 ways as a sum of consecutive naturals, for example, 1252 + ... + 1604.

It is an arithmetic number, because the mean of its divisors is an integer number (29736).

2⁵⁰⁴⁰⁸⁴ 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 504084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713664).

504084 is an abundant number, since it is smaller than the sum of its proper divisors (923244).

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

504084 is a wasteful number, since it uses less digits than its factorization.

504084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 504084 is about 709.9887323050. The cubic root of 504084 is about 79.5855650870.

Adding to 504084 its reverse (480405), we get a palindrome (984489).

The spelling of 504084 in words is "five hundred four thousand, eighty-four".