496551168 has 216 divisors, whose sum is σ = 1557528000. Its totient is φ = 156017664.

The previous prime is 496551151. The next prime is 496551173. The reversal of 496551168 is 861155694.

496551168 is a `hidden beast` number, since 4 + 96 + 551 + 1 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2495133 + ... + 2495331.

Almost surely, 2^496551168 is an apocalyptic number.

496551168 is a gapful number since it is divisible by the number (48) 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 496551168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778764000).

496551168 is an abundant number, since it is smaller than the sum of its proper divisors (1060976832).

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

496551168 is a wasteful number, since it uses less digits than its factorization.

496551168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 223 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 496551168 is about 22283.4281025160. The cubic root of 496551168 is about 791.8714208162.

The spelling of 496551168 in words is "four hundred ninety-six million, five hundred fifty-one thousand, one hundred sixty-eight".