506300928 has 240 divisors, whose sum is σ = 1625342400. Its totient is φ = 139991040.

The previous prime is 506300911. The next prime is 506300947. The reversal of 506300928 is 829003605.

It is a happy number.

It is a super-2 number, since 2×506300928² = 512681259387322368, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 16332273 + ... + 16332303.

It is an arithmetic number, because the mean of its divisors is an integer number (6772260).

Almost surely, 2^506300928 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 506300928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812671200).

506300928 is an abundant number, since it is smaller than the sum of its proper divisors (1119041472).

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

506300928 is an frugal number, since it uses more digits than its factorization.

506300928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 506300928 is about 22501.1317048721. The cubic root of 506300928 is about 797.0206514603.

The spelling of 506300928 in words is "five hundred six million, three hundred thousand, nine hundred twenty-eight".