506436112 has 80 divisors (see below), whose sum is σ = 1235893120. Its totient is φ = 195664896.

The previous prime is 506436101. The next prime is 506436157. The reversal of 506436112 is 211634605.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58564 + ... + 66652.

It is an arithmetic number, because the mean of its divisors is an integer number (15448664).

Almost surely, 2^506436112 is an apocalyptic number.

506436112 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506436112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617946560).

506436112 is an abundant number, since it is smaller than the sum of its proper divisors (729457008).

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

506436112 is a wasteful number, since it uses less digits than its factorization.

506436112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8160 (or 8154 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 506436112 is about 22504.1354421804. The cubic root of 506436112 is about 797.0915808528.

The spelling of 506436112 in words is "five hundred six million, four hundred thirty-six thousand, one hundred twelve".