504016128 has 288 divisors, whose sum is σ = 1860203520. Its totient is φ = 130775040.

The previous prime is 504016111. The next prime is 504016151. The reversal of 504016128 is 821610405.

504016128 is a `hidden beast` number, since 5 + 0 + 40 + 1 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×504016128² = 508064514568224768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531751 + ... + 532697.

It is an arithmetic number, because the mean of its divisors is an integer number (6459040).

Almost surely, 2^504016128 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 504016128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930101760).

504016128 is an abundant number, since it is smaller than the sum of its proper divisors (1356187392).

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

504016128 is a wasteful number, since it uses less digits than its factorization.

504016128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 504016128 is about 22450.3035168792. The cubic root of 504016128 is about 795.8199301441.

The spelling of 504016128 in words is "five hundred four million, sixteen thousand, one hundred twenty-eight".