505006600 has 96 divisors (see below), whose sum is σ = 1350717120. Its totient is φ = 172005120.

The previous prime is 505006591. The next prime is 505006633. The reversal of 505006600 is 6600505.

It is a congruent number.

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, 227094 + ... + 229306.

It is an arithmetic number, because the mean of its divisors is an integer number (14069970).

Almost surely, 2^505006600 is an apocalyptic number.

505006600 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 505006600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675358560).

505006600 is an abundant number, since it is smaller than the sum of its proper divisors (845710520).

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

505006600 is a wasteful number, since it uses less digits than its factorization.

505006600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 505006600 is about 22472.3519018371. The cubic root of 505006600 is about 796.3408933566.

The spelling of 505006600 in words is "five hundred five million, six thousand, six hundred".