490504543200 has 1728 divisors, whose sum is σ = 2144862720000. Its totient is φ = 105264230400.

The previous prime is 490504543171. The next prime is 490504543223. The reversal of 490504543200 is 2345405094.

It is a happy number.

490504543200 is a `hidden beast` number, since 4 + 90 + 5 + 0 + 4 + 543 + 20 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3291976726 + ... + 3291976874.

It is an arithmetic number, because the mean of its divisors is an integer number (1241240000).

Almost surely, 2^490504543200 is an apocalyptic number.

490504543200 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 490504543200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072431360000).

490504543200 is an abundant number, since it is smaller than the sum of its proper divisors (1654358176800).

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

490504543200 is a wasteful number, since it uses less digits than its factorization.

490504543200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 490504543200 its reverse (2345405094), we get a palindrome (492849948294).

The spelling of 490504543200 in words is "four hundred ninety billion, five hundred four million, five hundred forty-three thousand, two hundred".