498081600 has 126 divisors (see below), whose sum is σ = 1770350790. Its totient is φ = 132817920.

The previous prime is 498081593. The next prime is 498081611. The reversal of 498081600 is 6180894.

It is a happy number.

498081600 is a `hidden beast` number, since 49 + 8 + 0 + 8 + 1 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8433216 + 489648384 = 2904^2 + 22128^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 2895 + ... + 31694.

Almost surely, 2^498081600 is an apocalyptic number.

498081600 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 498081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885175395).

498081600 is an abundant number, since it is smaller than the sum of its proper divisors (1272269190).

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

498081600 is a wasteful number, since it uses less digits than its factorization.

498081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34617 (or 34599 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 498081600 is about 22317.7418212506. The cubic root of 498081600 is about 792.6841349179.

The spelling of 498081600 in words is "four hundred ninety-eight million, eighty-one thousand, six hundred".