505600212 has 48 divisors (see below), whose sum is σ = 1275527232. Its totient is φ = 154951680.

The previous prime is 505600201. The next prime is 505600217. The reversal of 505600212 is 212006505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505600217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33787 + ... + 46397.

It is an arithmetic number, because the mean of its divisors is an integer number (26573484).

Almost surely, 2^505600212 is an apocalyptic number.

505600212 is a gapful number since it is divisible by the number (52) 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 505600212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637763616).

505600212 is an abundant number, since it is smaller than the sum of its proper divisors (769927020).

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

505600212 is a wasteful number, since it uses less digits than its factorization.

505600212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12888 (or 12886 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 505600212 is about 22485.5556302263. Note that the first 3 decimals coincide. The cubic root of 505600212 is about 796.6527918624.

Adding to 505600212 its reverse (212006505), we get a palindrome (717606717).

The spelling of 505600212 in words is "five hundred five million, six hundred thousand, two hundred twelve".