490520851200 has 648 divisors, whose sum is σ = 1830859692480. Its totient is φ = 125175398400.

The previous prime is 490520851199. The next prime is 490520851207. The reversal of 490520851200 is 2158025094.

490520851200 is a `hidden beast` number, since 4 + 9 + 0 + 520 + 8 + 5 + 120 + 0 = 666.

It is a super-2 number, since 2×490520851200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (490520851207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 125162841 + ... + 125166759.

It is an arithmetic number, because the mean of its divisors is an integer number (2825400760).

Almost surely, 2^490520851200 is an apocalyptic number.

490520851200 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 490520851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915429846240).

490520851200 is an abundant number, since it is smaller than the sum of its proper divisors (1340338841280).

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

490520851200 is a wasteful number, since it uses less digits than its factorization.

490520851200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4045 (or 4023 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 490520851200 its reverse (2158025094), we get a palindrome (492678876294).

The spelling of 490520851200 in words is "four hundred ninety billion, five hundred twenty million, eight hundred fifty-one thousand, two hundred".