505566000 has 120 divisors (see below), whose sum is σ = 1765836384. Its totient is φ = 134812800.

The previous prime is 505565999. The next prime is 505566029. The reversal of 505566000 is 665505.

505566000 is a `hidden beast` number, since 5 + 0 + 5 + 56 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3957 + ... + 32043.

Almost surely, 2^505566000 is an apocalyptic number.

505566000 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 505566000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882918192).

505566000 is an abundant number, since it is smaller than the sum of its proper divisors (1260270384).

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

505566000 is a wasteful number, since it uses less digits than its factorization.

505566000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28116 (or 28097 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 505566000 is about 22484.7948623064. The cubic root of 505566000 is about 796.6348226584.

The spelling of 505566000 in words is "five hundred five million, five hundred sixty-six thousand".