499872000 has 288 divisors, whose sum is σ = 1714212864. Its totient is φ = 129024000.

The previous prime is 499871987. The next prime is 499872011. The reversal of 499872000 is 278994.

It is a self number, because there is not a number n which added to its sum of digits gives 499872000.

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, 3935937 + ... + 3936063.

It is an arithmetic number, because the mean of its divisors is an integer number (5952128).

Almost surely, 2^499872000 is an apocalyptic number.

499872000 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 499872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857106432).

499872000 is an abundant number, since it is smaller than the sum of its proper divisors (1214340864).

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

499872000 is a wasteful number, since it uses less digits than its factorization.

499872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 499872000 is about 22357.8174247846. The cubic root of 499872000 is about 793.6327910922.

The spelling of 499872000 in words is "four hundred ninety-nine million, eight hundred seventy-two thousand".