505106224 has 80 divisors (see below), whose sum is σ = 1185549120. Its totient is φ = 203857920.

The previous prime is 505106221. The next prime is 505106269. The reversal of 505106224 is 422601505.

It is not an unprimeable number, because it can be changed into a prime (505106221) 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, 131272 + ... + 135064.

It is an arithmetic number, because the mean of its divisors is an integer number (14819364).

Almost surely, 2^505106224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505106224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592774560).

505106224 is an abundant number, since it is smaller than the sum of its proper divisors (680442896).

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

505106224 is a wasteful number, since it uses less digits than its factorization.

505106224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3878 (or 3872 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 505106224 is about 22474.5683829523. The cubic root of 505106224 is about 796.3932553447.

Adding to 505106224 its reverse (422601505), we get a palindrome (927707729).

The spelling of 505106224 in words is "five hundred five million, one hundred six thousand, two hundred twenty-four".