504075936 has 144 divisors (see below), whose sum is σ = 1657835424. Its totient is φ = 132926976.

The previous prime is 504075911. The next prime is 504075983. The reversal of 504075936 is 639570405.

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 = 504075894 and 504075903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57031 + ... + 65273.

It is an arithmetic number, because the mean of its divisors is an integer number (11512746).

Almost surely, 2^504075936 is an apocalyptic number.

504075936 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 504075936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828917712).

504075936 is an abundant number, since it is smaller than the sum of its proper divisors (1153759488).

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

504075936 is a wasteful number, since it uses less digits than its factorization.

504075936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8283 (or 8268 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 504075936 is about 22451.6354860843. The cubic root of 504075936 is about 795.8514069913.

The spelling of 504075936 in words is "five hundred four million, seventy-five thousand, nine hundred thirty-six".