504216 has 48 divisors (see below), whose sum is σ = 1404000. Its totient is φ = 163392.

The previous prime is 504209. The next prime is 504221. The reversal of 504216 is 612405.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

504216 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 11 ways as a sum of consecutive naturals, for example, 3310 + ... + 3458.

It is an arithmetic number, because the mean of its divisors is an integer number (29250).

2⁵⁰⁴²¹⁶ 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 504216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702000).

504216 is an abundant number, since it is smaller than the sum of its proper divisors (899784).

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

504216 is a wasteful number, since it uses less digits than its factorization.

504216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 504216 is about 710.0816854419. The cubic root of 504216 is about 79.5925112691.

The spelling of 504216 in words is "five hundred four thousand, two hundred sixteen".