490663992200 has 36 divisors (see below), whose sum is σ = 1140816814245. Its totient is φ = 196261634400.

The previous prime is 490663992197. The next prime is 490663992251. The reversal of 490663992200 is 2299366094.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 480850712356 + 9813279844 = 693434^2 + 99062^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=495310.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9881435 + ... + 9930965.

Almost surely, 2^490663992200 is an apocalyptic number.

490663992200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

490663992200 is an abundant number, since it is smaller than the sum of its proper divisors (650152822045).

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

490663992200 is an frugal number, since it uses more digits than its factorization.

490663992200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99078 (or 49538 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 50.

Multiplying 490663992200 by its sum of digits (50), we get a square (24533199610000 = 4953100²).

490663992200 divided by its sum of digits (50) gives a square (9813279844 = 99062²).

The spelling of 490663992200 in words is "four hundred ninety billion, six hundred sixty-three million, nine hundred ninety-two thousand, two hundred".