504504416 has 192 divisors, whose sum is σ = 1219276800. Its totient is φ = 203212800.

The previous prime is 504504401. The next prime is 504504443. The reversal of 504504416 is 614405405.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7105661 + ... + 7105731.

It is an arithmetic number, because the mean of its divisors is an integer number (6350400).

Almost surely, 2^504504416 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 504504416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609638400).

504504416 is an abundant number, since it is smaller than the sum of its proper divisors (714772384).

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

504504416 is a wasteful number, since it uses less digits than its factorization.

504504416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 504504416 is about 22461.1757483886. The cubic root of 504504416 is about 796.0768424929.

The spelling of 504504416 in words is "five hundred four million, five hundred four thousand, four hundred sixteen".