498682648800 has 432 divisors, whose sum is σ = 2115468351360. Its totient is φ = 107985208320.

The previous prime is 498682648757. The next prime is 498682648801. The reversal of 498682648800 is 8846286894.

498682648800 is a `hidden beast` number, since 4 + 98 + 68 + 2 + 6 + 488 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498682648801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 697219 + ... + 1217981.

It is an arithmetic number, because the mean of its divisors is an integer number (4896917480).

Almost surely, 2^498682648800 is an apocalyptic number.

498682648800 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 498682648800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057734175680).

498682648800 is an abundant number, since it is smaller than the sum of its proper divisors (1616785702560).

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

498682648800 is a wasteful number, since it uses less digits than its factorization.

498682648800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520815 (or 520799 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 498682648800 in words is "four hundred ninety-eight billion, six hundred eighty-two million, six hundred forty-eight thousand, eight hundred".