490504584960 has 720 divisors, whose sum is σ = 2001401208576. Its totient is φ = 113631952896.

The previous prime is 490504584949. The next prime is 490504584989. The reversal of 490504584960 is 69485405094.

490504584960 is a `hidden beast` number, since 4 + 9 + 0 + 50 + 4 + 584 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 490504584897 and 490504584906.

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 79 ways as a sum of consecutive naturals, for example, 22902577 + ... + 22923983.

Almost surely, 2^490504584960 is an apocalyptic number.

490504584960 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 490504584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000700604288).

490504584960 is an abundant number, since it is smaller than the sum of its proper divisors (1510896623616).

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

490504584960 is a wasteful number, since it uses less digits than its factorization.

490504584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21470 (or 21447 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 490504584960 in words is "four hundred ninety billion, five hundred four million, five hundred eighty-four thousand, nine hundred sixty".