505046800 has 30 divisors (see below), whose sum is σ = 1213375898. Its totient is φ = 202018560.

The previous prime is 505046797. The next prime is 505046807. The reversal of 505046800 is 8640505.

It can be written as a sum of positive squares in 3 ways, for example, as 127599616 + 377447184 = 11296^2 + 19428^2 .

It is not an unprimeable number, because it can be changed into a prime (505046807) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 630909 + ... + 631708.

Almost surely, 2^505046800 is an apocalyptic number.

505046800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505046800 is an abundant number, since it is smaller than the sum of its proper divisors (708329098).

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

505046800 is a wasteful number, since it uses less digits than its factorization.

505046800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262635 (or 1262624 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 505046800 is about 22473.2463164537. The cubic root of 505046800 is about 796.3620231494.

The spelling of 505046800 in words is "five hundred five million, forty-six thousand, eight hundred".