498420480 has 288 divisors, whose sum is σ = 1695375360. Its totient is φ = 124600320.

The previous prime is 498420473. The next prime is 498420491. The reversal of 498420480 is 84024894.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6309081 + ... + 6309159.

It is an arithmetic number, because the mean of its divisors is an integer number (5886720).

Almost surely, 2^498420480 is an apocalyptic number.

498420480 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 498420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847687680).

498420480 is an abundant number, since it is smaller than the sum of its proper divisors (1196954880).

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

498420480 is a wasteful number, since it uses less digits than its factorization.

498420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 498420480 is about 22325.3326962892. The cubic root of 498420480 is about 792.8638671152.

The spelling of 498420480 in words is "four hundred ninety-eight million, four hundred twenty thousand, four hundred eighty".