505516800 has 216 divisors, whose sum is σ = 1690298064. Its totient is φ = 133038080.

The previous prime is 505516789. The next prime is 505516853. The reversal of 505516800 is 8615505.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2169484 + ... + 2169716.

It is an arithmetic number, because the mean of its divisors is an integer number (7825454).

Almost surely, 2^505516800 is an apocalyptic number.

505516800 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 505516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845149032).

505516800 is an abundant number, since it is smaller than the sum of its proper divisors (1184781264).

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

505516800 is a wasteful number, since it uses less digits than its factorization.

505516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The square root of 505516800 is about 22483.7007629972. The cubic root of 505516800 is about 796.6089798705.

The spelling of 505516800 in words is "five hundred five million, five hundred sixteen thousand, eight hundred".