498496000 has 80 divisors (see below), whose sum is σ = 1243190520. Its totient is φ = 199372800.

The previous prime is 498495983. The next prime is 498496021. The reversal of 498496000 is 694894.

It can be written as a sum of positive squares in 4 ways, for example, as 167547136 + 330948864 = 12944^2 + 18192^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

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 7 ways as a sum of consecutive naturals, for example, 60106 + ... + 67894.

Almost surely, 2^498496000 is an apocalyptic number.

498496000 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 498496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621595260).

498496000 is an abundant number, since it is smaller than the sum of its proper divisors (744694520).

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

498496000 is an frugal number, since it uses more digits than its factorization.

498496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7822 (or 7796 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 498496000 is about 22327.0239844006. The cubic root of 498496000 is about 792.9039096480.

The spelling of 498496000 in words is "four hundred ninety-eight million, four hundred ninety-six thousand".