506249216 has 90 divisors (see below), whose sum is σ = 1125743052. Its totient is φ = 225771520.

The previous prime is 506249213. The next prime is 506249231. The reversal of 506249216 is 612942605.

It is a happy number.

It is a super-2 number, since 2×506249216² = 512576537401229312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (506249213) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9551846 + ... + 9551898.

Almost surely, 2^506249216 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 506249216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562871526).

506249216 is an abundant number, since it is smaller than the sum of its proper divisors (619493836).

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

506249216 is an frugal number, since it uses more digits than its factorization.

506249216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 506249216 is about 22499.9825777710. The cubic root of 506249216 is about 796.9935154673.

The spelling of 506249216 in words is "five hundred six million, two hundred forty-nine thousand, two hundred sixteen".