498075744960 has 336 divisors, whose sum is σ = 1725637245696. Its totient is φ = 131857514496.

The previous prime is 498075744911. The next prime is 498075744973. The reversal of 498075744960 is 69447570894.

498075744960 is a `hidden beast` number, since 4 + 9 + 8 + 0 + 75 + 74 + 496 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 293502832 + ... + 293504528.

It is an arithmetic number, because the mean of its divisors is an integer number (5135825136).

Almost surely, 2^498075744960 is an apocalyptic number.

498075744960 is a gapful number since it is divisible by the number (40) 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 498075744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862818622848).

498075744960 is an abundant number, since it is smaller than the sum of its proper divisors (1227561500736).

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

498075744960 is a wasteful number, since it uses less digits than its factorization.

498075744960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 498075744960 in words is "four hundred ninety-eight billion, seventy-five million, seven hundred forty-four thousand, nine hundred sixty".