490670812800 has 2304 divisors, whose sum is σ = 2237481792000. Its totient is φ = 99916185600.

The previous prime is 490670812703. The next prime is 490670812831. The reversal of 490670812800 is 8218076094.

490670812800 is a `hidden beast` number, since 490 + 6 + 7 + 0 + 81 + 2 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5513155156 + ... + 5513155244.

It is an arithmetic number, because the mean of its divisors is an integer number (971129250).

Almost surely, 2^490670812800 is an apocalyptic number.

490670812800 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 490670812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118740896000).

490670812800 is an abundant number, since it is smaller than the sum of its proper divisors (1746810979200).

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

490670812800 is a wasteful number, since it uses less digits than its factorization.

490670812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

Adding to 490670812800 its reverse (8218076094), we get a palindrome (498888888894).

The spelling of 490670812800 in words is "four hundred ninety billion, six hundred seventy million, eight hundred twelve thousand, eight hundred".