498146688 has 384 divisors, whose sum is σ = 1693036800. Its totient is φ = 139345920.

The previous prime is 498146687. The next prime is 498146711. The reversal of 498146688 is 886641894.

498146688 is a `hidden beast` number, since 498 + 14 + 66 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498146683) 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 47 ways as a sum of consecutive naturals, for example, 13463406 + ... + 13463442.

It is an arithmetic number, because the mean of its divisors is an integer number (4408950).

Almost surely, 2^498146688 is an apocalyptic number.

498146688 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 498146688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846518400).

498146688 is an abundant number, since it is smaller than the sum of its proper divisors (1194890112).

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

498146688 is a wasteful number, since it uses less digits than its factorization.

498146688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 115 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 498146688 is about 22319.1999856626. The cubic root of 498146688 is about 792.7186620434.

The spelling of 498146688 in words is "four hundred ninety-eight million, one hundred forty-six thousand, six hundred eighty-eight".