505482800 has 60 divisors (see below), whose sum is σ = 1226312880. Its totient is φ = 200213760.

The previous prime is 505482779. The next prime is 505482823. The reversal of 505482800 is 8284505.

It is a super-2 number, since 2×505482800² = 511025722191680000, 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 11 ways as a sum of consecutive naturals, for example, 35066 + ... + 47334.

It is an arithmetic number, because the mean of its divisors is an integer number (20438548).

Almost surely, 2^505482800 is an apocalyptic number.

505482800 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 505482800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613156440).

505482800 is an abundant number, since it is smaller than the sum of its proper divisors (720830080).

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

505482800 is a wasteful number, since it uses less digits than its factorization.

505482800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12390 (or 12379 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The square root of 505482800 is about 22482.9446469985. The cubic root of 505482800 is about 796.5911200535.

The spelling of 505482800 in words is "five hundred five million, four hundred eighty-two thousand, eight hundred".