506944512 has 132 divisors (see below), whose sum is σ = 1487448456. Its totient is φ = 166256640.

The previous prime is 506944499. The next prime is 506944517. The reversal of 506944512 is 215449605.

506944512 is a `hidden beast` number, since 50 + 6 + 94 + 4 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506944517) 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 11 ways as a sum of consecutive naturals, for example, 617062 + ... + 617882.

Almost surely, 2^506944512 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 506944512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743724228).

506944512 is an abundant number, since it is smaller than the sum of its proper divisors (980503944).

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

506944512 is a wasteful number, since it uses less digits than its factorization.

506944512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 506944512 is about 22515.4283103831. The cubic root of 506944512 is about 797.3582191786.

The spelling of 506944512 in words is "five hundred six million, nine hundred forty-four thousand, five hundred twelve".