506556444 has 24 divisors (see below), whose sum is σ = 1201343248. Its totient is φ = 166083840.

The previous prime is 506556443. The next prime is 506556451. The reversal of 506556444 is 444655605.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506556443) 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 7 ways as a sum of consecutive naturals, for example, 345277 + ... + 346740.

Almost surely, 2^506556444 is an apocalyptic number.

It is an amenable number.

506556444 is an abundant number, since it is smaller than the sum of its proper divisors (694786804).

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

506556444 is a wasteful number, since it uses less digits than its factorization.

506556444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692085 (or 692083 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The square root of 506556444 is about 22506.8088364388. The cubic root of 506556444 is about 797.1547069650.

The spelling of 506556444 in words is "five hundred six million, five hundred fifty-six thousand, four hundred forty-four".