498300308352 has 768 divisors, whose sum is σ = 1910024582400. Its totient is φ = 126398361600.

The previous prime is 498300308351. The next prime is 498300308393. The reversal of 498300308352 is 253803003894.

498300308352 is a `hidden beast` number, since 4 + 9 + 8 + 300 + 308 + 35 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 498300308298 and 498300308307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498300308351) 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 95 ways as a sum of consecutive naturals, for example, 80096602 + ... + 80102822.

It is an arithmetic number, because the mean of its divisors is an integer number (2487011175).

Almost surely, 2^498300308352 is an apocalyptic number.

498300308352 is a gapful number since it is divisible by the number (42) 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 498300308352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955012291200).

498300308352 is an abundant number, since it is smaller than the sum of its proper divisors (1411724274048).

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

498300308352 is a wasteful number, since it uses less digits than its factorization.

498300308352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6312 (or 6287 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 498300308352 in words is "four hundred ninety-eight billion, three hundred million, three hundred eight thousand, three hundred fifty-two".