505563968 has 84 divisors (see below), whose sum is σ = 1256893092. Its totient is φ = 199987200.

The previous prime is 505563911. The next prime is 505563973. The reversal of 505563968 is 869365505.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 127961344 + 377602624 = 11312^2 + 19432^2 .

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 34568 + ... + 46968.

It is an arithmetic number, because the mean of its divisors is an integer number (14963013).

Almost surely, 2^505563968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505563968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628446546).

505563968 is an abundant number, since it is smaller than the sum of its proper divisors (751329124).

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

505563968 is a wasteful number, since it uses less digits than its factorization.

505563968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12440 (or 12423 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 47.

The square root of 505563968 is about 22484.7496761694. The cubic root of 505563968 is about 796.6337553635.

The spelling of 505563968 in words is "five hundred five million, five hundred sixty-three thousand, nine hundred sixty-eight".