490484701980 has 288 divisors, whose sum is σ = 1831915298304. Its totient is φ = 103443236352.

The previous prime is 490484701957. The next prime is 490484701999. The reversal of 490484701980 is 89107484094.

490484701980 is a `hidden beast` number, since 4 + 9 + 0 + 484 + 70 + 1 + 98 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 51805207 + ... + 51814673.

It is an arithmetic number, because the mean of its divisors is an integer number (6360817008).

Almost surely, 2^490484701980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490484701980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915957649152).

490484701980 is an abundant number, since it is smaller than the sum of its proper divisors (1341430596324).

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

490484701980 is a wasteful number, since it uses less digits than its factorization.

490484701980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12665 (or 12660 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

It can be divided in two parts, 490484 and 701980, that added together give a square (1192464 = 1092²).

The spelling of 490484701980 in words is "four hundred ninety billion, four hundred eighty-four million, seven hundred one thousand, nine hundred eighty".