505556000 has 96 divisors (see below), whose sum is σ = 1250121600. Its totient is φ = 200928000.

The previous prime is 505555991. The next prime is 505556021. The reversal of 505556000 is 655505.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 843701 + ... + 844299.

It is an arithmetic number, because the mean of its divisors is an integer number (13022100).

Almost surely, 2^505556000 is an apocalyptic number.

505556000 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 505556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625060800).

505556000 is an abundant number, since it is smaller than the sum of its proper divisors (744565600).

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

505556000 is a wasteful number, since it uses less digits than its factorization.

505556000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 26.

The square root of 505556000 is about 22484.5724887088. The cubic root of 505556000 is about 796.6295701950.

The spelling of 505556000 in words is "five hundred five million, five hundred fifty-six thousand".