504916320 has 192 divisors, whose sum is σ = 1724405760. Its totient is φ = 123691008.

The previous prime is 504916297. The next prime is 504916339. The reversal of 504916320 is 23619405.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 350161 + ... + 351599.

It is an arithmetic number, because the mean of its divisors is an integer number (8981280).

Almost surely, 2^504916320 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 504916320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862202880).

504916320 is an abundant number, since it is smaller than the sum of its proper divisors (1219489440).

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

504916320 is a wasteful number, since it uses less digits than its factorization.

504916320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 504916320 is about 22470.3431215458. The cubic root of 504916320 is about 796.2934365904.

The spelling of 504916320 in words is "five hundred four million, nine hundred sixteen thousand, three hundred twenty".