505563240 has 256 divisors, whose sum is σ = 1897297920. Its totient is φ = 104924160.

The previous prime is 505563217. The next prime is 505563241. The reversal of 505563240 is 42365505.

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

It is a junction number, because it is equal to n+sod(n) for n = 505563198 and 505563207.

It is not an unprimeable number, because it can be changed into a prime (505563241) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 731295 + ... + 731985.

It is an arithmetic number, because the mean of its divisors is an integer number (7411320).

Almost surely, 2^505563240 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 505563240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948648960).

505563240 is an abundant number, since it is smaller than the sum of its proper divisors (1391734680).

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

505563240 is a wasteful number, since it uses less digits than its factorization.

505563240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 505563240 is about 22484.7334874132. The cubic root of 505563240 is about 796.6333729854.

The spelling of 505563240 in words is "five hundred five million, five hundred sixty-three thousand, two hundred forty".