498680820 has 192 divisors, whose sum is σ = 1739001600. Its totient is φ = 117573120.

The previous prime is 498680801. The next prime is 498680837. The reversal of 498680820 is 28086894.

It is a happy number.

498680820 is a `hidden beast` number, since 498 + 6 + 80 + 82 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 218646 + ... + 220914.

It is an arithmetic number, because the mean of its divisors is an integer number (9057300).

Almost surely, 2^498680820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 498680820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869500800).

498680820 is an abundant number, since it is smaller than the sum of its proper divisors (1240320780).

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

498680820 is a wasteful number, since it uses less digits than its factorization.

498680820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 498680820 is about 22331.1625313148. The cubic root of 498680820 is about 793.0018886312.

It can be divided in two parts, 498680 and 820, that added together give a triangular number (499500 = T₉₉₉).

The spelling of 498680820 in words is "four hundred ninety-eight million, six hundred eighty thousand, eight hundred twenty".