504581616 has 360 divisors, whose sum is σ = 1861287120. Its totient is φ = 130394880.

The previous prime is 504581599. The next prime is 504581647. The reversal of 504581616 is 616185405.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2561230 + ... + 2561426.

It is an arithmetic number, because the mean of its divisors is an integer number (5170242).

Almost surely, 2^504581616 is an apocalyptic number.

504581616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504581616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930643560).

504581616 is an abundant number, since it is smaller than the sum of its proper divisors (1356705504).

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

504581616 is a wasteful number, since it uses less digits than its factorization.

504581616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 504581616 is about 22462.8942035527. The cubic root of 504581616 is about 796.1174460343.

The spelling of 504581616 in words is "five hundred four million, five hundred eighty-one thousand, six hundred sixteen".