506427966 has 48 divisors (see below), whose sum is σ = 1235639808. Its totient is φ = 148510800.

The previous prime is 506427949. The next prime is 506427973. The reversal of 506427966 is 669724605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35116 + ... + 47391.

It is an arithmetic number, because the mean of its divisors is an integer number (25742496).

Almost surely, 2^506427966 is an apocalyptic number.

506427966 is an abundant number, since it is smaller than the sum of its proper divisors (729211842).

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

506427966 is a wasteful number, since it uses less digits than its factorization.

506427966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82557 (or 82554 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 506427966 is about 22503.9544524957. The cubic root of 506427966 is about 797.0873071036.

The spelling of 506427966 in words is "five hundred six million, four hundred twenty-seven thousand, nine hundred sixty-six".