499984200 has 144 divisors (see below), whose sum is σ = 1698524100. Its totient is φ = 131788800.

The previous prime is 499984193. The next prime is 499984223. The reversal of 499984200 is 2489994.

It can be written as a sum of positive squares in 6 ways, for example, as 4743684 + 495240516 = 2178^2 + 22254^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 158640 + ... + 161760.

Almost surely, 2^499984200 is an apocalyptic number.

499984200 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 499984200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849262050).

499984200 is an abundant number, since it is smaller than the sum of its proper divisors (1198539900).

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

499984200 is a wasteful number, since it uses less digits than its factorization.

499984200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232 (or 3220 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 499984200 is about 22360.3264734663. The cubic root of 499984200 is about 793.6921655838.

The spelling of 499984200 in words is "four hundred ninety-nine million, nine hundred eighty-four thousand, two hundred".