504175672 has 192 divisors, whose sum is σ = 1328140800. Its totient is φ = 174021120.

The previous prime is 504175669. The next prime is 504175673. The reversal of 504175672 is 276571405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504175673) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3018933 + ... + 3019099.

It is an arithmetic number, because the mean of its divisors is an integer number (6917400).

Almost surely, 2^504175672 is an apocalyptic number.

504175672 is a gapful number since it is divisible by the number (52) 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 504175672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664070400).

504175672 is an abundant number, since it is smaller than the sum of its proper divisors (823965128).

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

504175672 is a wasteful number, since it uses less digits than its factorization.

504175672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 37.

The square root of 504175672 is about 22453.8565061773. The cubic root of 504175672 is about 795.9038923384.

The spelling of 504175672 in words is "five hundred four million, one hundred seventy-five thousand, six hundred seventy-two".