490995993600 has 2112 divisors, whose sum is σ = 2233686400000. Its totient is φ = 105345515520.

The previous prime is 490995993583. The next prime is 490995993601. The reversal of 490995993600 is 6399599094.

490995993600 is a `hidden beast` number, since 4 + 9 + 0 + 9 + 9 + 599 + 36 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490995993601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4504550346 + ... + 4504550454.

Almost surely, 2^490995993600 is an apocalyptic number.

490995993600 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 490995993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116843200000).

490995993600 is an abundant number, since it is smaller than the sum of its proper divisors (1742690406400).

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

490995993600 is a wasteful number, since it uses less digits than its factorization.

490995993600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 21257640, while the sum is 63.

The spelling of 490995993600 in words is "four hundred ninety billion, nine hundred ninety-five million, nine hundred ninety-three thousand, six hundred".