506468950 has 48 divisors (see below), whose sum is σ = 1041964560. Its totient is φ = 181941120.

The previous prime is 506468939. The next prime is 506468953. The reversal of 506468950 is 59864605.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

Together with 535495610 it forms an amicable pair .

It is a junction number, because it is equal to n+sod(n) for n = 506468897 and 506468906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506468953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13521 + ... + 34579.

It is an arithmetic number, because the mean of its divisors is an integer number (21707595).

Almost surely, 2^506468950 is an apocalyptic number.

506468950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

506468950 is an abundant number, since it is smaller than the sum of its proper divisors (535495610).

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

506468950 is a wasteful number, since it uses less digits than its factorization.

506468950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21121 (or 21116 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The square root of 506468950 is about 22504.8650295886. The cubic root of 506468950 is about 797.1088086446.

The spelling of 506468950 in words is "five hundred six million, four hundred sixty-eight thousand, nine hundred fifty".