505909800 has 480 divisors, whose sum is σ = 2041744320. Its totient is φ = 114739200.

The previous prime is 505909799. The next prime is 505909823. The reversal of 505909800 is 8909505.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 3029317 + ... + 3029483.

It is an arithmetic number, because the mean of its divisors is an integer number (4253634).

Almost surely, 2^505909800 is an apocalyptic number.

505909800 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 505909800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020872160).

505909800 is an abundant number, since it is smaller than the sum of its proper divisors (1535834520).

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

505909800 is a wasteful number, since it uses less digits than its factorization.

505909800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 505909800 is about 22492.4387294931. The cubic root of 505909800 is about 796.8153602424.

The spelling of 505909800 in words is "five hundred five million, nine hundred nine thousand, eight hundred".