498135168 has 96 divisors (see below), whose sum is σ = 1441958700. Its totient is φ = 165058560.

The previous prime is 498135119. The next prime is 498135193. The reversal of 498135168 is 861531894.

It can be written as a sum of positive squares in 2 ways, for example, as 390141504 + 107993664 = 19752^2 + 10392^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 207318 + ... + 209706.

Almost surely, 2^498135168 is an apocalyptic number.

498135168 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 498135168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720979350).

498135168 is an abundant number, since it is smaller than the sum of its proper divisors (943823532).

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

498135168 is a wasteful number, since it uses less digits than its factorization.

498135168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590 (or 2575 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 498135168 is about 22318.9419104043. The cubic root of 498135168 is about 792.7125512668.

The spelling of 498135168 in words is "four hundred ninety-eight million, one hundred thirty-five thousand, one hundred sixty-eight".