506150880 has 288 divisors, whose sum is σ = 1769693184. Its totient is φ = 121347072.

The previous prime is 506150839. The next prime is 506150917. The reversal of 506150880 is 88051605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3985377 + ... + 3985503.

It is an arithmetic number, because the mean of its divisors is an integer number (6144768).

Almost surely, 2^506150880 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 506150880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884846592).

506150880 is an abundant number, since it is smaller than the sum of its proper divisors (1263542304).

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

506150880 is a wasteful number, since it uses less digits than its factorization.

506150880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 506150880 is about 22497.7972255063. The cubic root of 506150880 is about 796.9419083228.

The spelling of 506150880 in words is "five hundred six million, one hundred fifty thousand, eight hundred eighty".