506052800 has 84 divisors (see below), whose sum is σ = 1358453976. Its totient is φ = 184012800.

The previous prime is 506052779. The next prime is 506052803. The reversal of 506052800 is 8250605.

It is a self number, because there is not a number n which added to its sum of digits gives 506052800.

It is not an unprimeable number, because it can be changed into a prime (506052803) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3224 + ... + 31976.

Almost surely, 2^506052800 is an apocalyptic number.

506052800 is a gapful number since it is divisible by the number (50) 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 506052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679226988).

506052800 is an abundant number, since it is smaller than the sum of its proper divisors (852401176).

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

506052800 is a wasteful number, since it uses less digits than its factorization.

506052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28786 (or 28771 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 506052800 is about 22495.6173509419. The cubic root of 506052800 is about 796.8904288695.

The spelling of 506052800 in words is "five hundred six million, fifty-two thousand, eight hundred".