505896000 has 224 divisors, whose sum is σ = 1694639232. Its totient is φ = 132966400.

The previous prime is 505895993. The next prime is 505896049. The reversal of 505896000 is 698505.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2567902 + ... + 2568098.

Almost surely, 2^505896000 is an apocalyptic number.

505896000 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 505896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847319616).

505896000 is an abundant number, since it is smaller than the sum of its proper divisors (1188743232).

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

505896000 is a wasteful number, since it uses less digits than its factorization.

505896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 505896000 is about 22492.1319576424. The cubic root of 505896000 is about 796.8081151090.

The spelling of 505896000 in words is "five hundred five million, eight hundred ninety-six thousand".