506463012 has 144 divisors (see below), whose sum is σ = 1489662720. Its totient is φ = 143467200.

The previous prime is 506463007. The next prime is 506463019. The reversal of 506463012 is 210364605.

506463012 is a `hidden beast` number, since 5 + 0 + 646 + 3 + 0 + 12 = 666.

It is a super-2 number, since 2×506463012² = 513009565048224288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (506463019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624087 + ... + 624897.

It is an arithmetic number, because the mean of its divisors is an integer number (10344880).

Almost surely, 2^506463012 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 506463012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744831360).

506463012 is an abundant number, since it is smaller than the sum of its proper divisors (983199708).

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

506463012 is a wasteful number, since it uses less digits than its factorization.

506463012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 506463012 is about 22504.7331021721. The cubic root of 506463012 is about 797.1056934482.

The spelling of 506463012 in words is "five hundred six million, four hundred sixty-three thousand, twelve".