504016 has 30 divisors (see below), whose sum is σ = 1046870. Its totient is φ = 235008.

The previous prime is 504011. The next prime is 504017. The reversal of 504016 is 610405.

It can be written as a sum of positive squares in 3 ways, for example, as 254016 + 250000 = 504^2 + 500^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4570 + ... + 4678.

2⁵⁰⁴⁰¹⁶ 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 504016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523435).

504016 is an abundant number, since it is smaller than the sum of its proper divisors (542854).

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

504016 is a wasteful number, since it uses less digits than its factorization.

504016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 504016 is about 709.9408426059. The cubic root of 504016 is about 79.5819862775.

The spelling of 504016 in words is "five hundred four thousand, sixteen".