496580112 has 120 divisors (see below), whose sum is σ = 1658152800. Its totient is φ = 141873984.

The previous prime is 496580111. The next prime is 496580131. The reversal of 496580112 is 211085694.

496580112 is a `hidden beast` number, since 496 + 58 + 0 + 112 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (496580111) 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 23 ways as a sum of consecutive naturals, for example, 9439 + ... + 32897.

It is an arithmetic number, because the mean of its divisors is an integer number (13817940).

Almost surely, 2^496580112 is an apocalyptic number.

496580112 is a gapful number since it is divisible by the number (42) 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 496580112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829076400).

496580112 is an abundant number, since it is smaller than the sum of its proper divisors (1161572688).

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

496580112 is a wasteful number, since it uses less digits than its factorization.

496580112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23490 (or 23471 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 496580112 is about 22284.0775442916. The cubic root of 496580112 is about 791.8868065962.

The spelling of 496580112 in words is "four hundred ninety-six million, five hundred eighty thousand, one hundred twelve".