498127680 has 168 divisors, whose sum is σ = 1722574152. Its totient is φ = 132120576.

The previous prime is 498127661. The next prime is 498127681. The reversal of 498127680 is 86721894.

498127680 is a `hidden beast` number, since 498 + 12 + 76 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 142277184 + 355850496 = 11928^2 + 18864^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498127681) 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 23 ways as a sum of consecutive naturals, for example, 739824 + ... + 740496.

Almost surely, 2^498127680 is an apocalyptic number.

498127680 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 498127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861287076).

498127680 is an abundant number, since it is smaller than the sum of its proper divisors (1224446472).

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

498127680 is a wasteful number, since it uses less digits than its factorization.

498127680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 498127680 is about 22318.7741598861. The cubic root of 498127680 is about 792.7085792114.

The spelling of 498127680 in words is "four hundred ninety-eight million, one hundred twenty-seven thousand, six hundred eighty".