505563300 has 216 divisors, whose sum is σ = 1744055040. Its totient is φ = 121478400.

The previous prime is 505563287. The next prime is 505563353. The reversal of 505563300 is 3365505.

It is a happy number.

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 71 ways as a sum of consecutive naturals, for example, 2207586 + ... + 2207814.

Almost surely, 2^505563300 is an apocalyptic number.

505563300 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 505563300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872027520).

505563300 is an abundant number, since it is smaller than the sum of its proper divisors (1238491740).

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

505563300 is a wasteful number, since it uses less digits than its factorization.

505563300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 505563300 is about 22484.7348216518. The cubic root of 505563300 is about 796.6334045001.

The spelling of 505563300 in words is "five hundred five million, five hundred sixty-three thousand, three hundred".