504117216 has 48 divisors (see below), whose sum is σ = 1470344400. Its totient is φ = 168038784.

The previous prime is 504117209. The next prime is 504117217. The reversal of 504117216 is 612711405.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 504117216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504117217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 290871 + ... + 292598.

It is an arithmetic number, because the mean of its divisors is an integer number (30632175).

Almost surely, 2^504117216 is an apocalyptic number.

It is an amenable number.

504117216 is an abundant number, since it is smaller than the sum of its proper divisors (966227184).

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

504117216 is a wasteful number, since it uses less digits than its factorization.

504117216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583488 (or 583474 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 504117216 is about 22452.5547766841. The cubic root of 504117216 is about 795.8731311317.

The spelling of 504117216 in words is "five hundred four million, one hundred seventeen thousand, two hundred sixteen".