498585168 has 180 divisors, whose sum is σ = 1516376160. Its totient is φ = 152630016.

The previous prime is 498585161. The next prime is 498585173. The reversal of 498585168 is 861585894.

It is a happy number.

498585168 is a `hidden beast` number, since 49 + 8 + 585 + 16 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498585161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2785303 + ... + 2785481.

It is an arithmetic number, because the mean of its divisors is an integer number (8424312).

Almost surely, 2^498585168 is an apocalyptic number.

498585168 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 498585168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758188080).

498585168 is an abundant number, since it is smaller than the sum of its proper divisors (1017790992).

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

498585168 is a wasteful number, since it uses less digits than its factorization.

498585168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 236 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 54.

The square root of 498585168 is about 22329.0207577493. The cubic root of 498585168 is about 792.9511834748.

The spelling of 498585168 in words is "four hundred ninety-eight million, five hundred eighty-five thousand, one hundred sixty-eight".