505805216 has 96 divisors (see below), whose sum is σ = 1233429120. Its totient is φ = 199213056.

The previous prime is 505805203. The next prime is 505805221. The reversal of 505805216 is 612508505.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 162200 + ... + 165288.

It is an arithmetic number, because the mean of its divisors is an integer number (12848220).

Almost surely, 2^505805216 is an apocalyptic number.

505805216 is a gapful number since it is divisible by the number (56) 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 505805216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616714560).

505805216 is an abundant number, since it is smaller than the sum of its proper divisors (727623904).

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

505805216 is a wasteful number, since it uses less digits than its factorization.

505805216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3166 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The square root of 505805216 is about 22490.1137391521. The cubic root of 505805216 is about 796.7604493468.

The spelling of 505805216 in words is "five hundred five million, eight hundred five thousand, two hundred sixteen".