504864048 has 160 divisors (see below), whose sum is σ = 1497126400. Its totient is φ = 145317888.

The previous prime is 504864023. The next prime is 504864071. The reversal of 504864048 is 840468405.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 504863997 and 504864015.

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, 1149813 + ... + 1150251.

It is an arithmetic number, because the mean of its divisors is an integer number (9357040).

Almost surely, 2^504864048 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 504864048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748563200).

504864048 is an abundant number, since it is smaller than the sum of its proper divisors (992262352).

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

504864048 is a wasteful number, since it uses less digits than its factorization.

504864048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 504864048 is about 22469.1799583340. The cubic root of 504864048 is about 796.2659565999.

It can be divided in two parts, 5048 and 64048, that added together give a palindrome (69096).

The spelling of 504864048 in words is "five hundred four million, eight hundred sixty-four thousand, forty-eight".