490188961600 has 252 divisors, whose sum is σ = 1382932556964. Its totient is φ = 170344611840.

The previous prime is 490188961597. The next prime is 490188961607. The reversal of 490188961600 is 6169881094.

It can be written as a sum of positive squares in 18 ways, for example, as 269709880896 + 220479080704 = 519336^2 + 469552^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490188961607) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 4543482 + ... + 4650118.

It is an arithmetic number, because the mean of its divisors is an integer number (5487827607).

Almost surely, 2^490188961600 is an apocalyptic number.

490188961600 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 490188961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691466278482).

490188961600 is an abundant number, since it is smaller than the sum of its proper divisors (892743595364).

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

490188961600 is a wasteful number, since it uses less digits than its factorization.

490188961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106702 (or 106674 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 52.

The spelling of 490188961600 in words is "four hundred ninety billion, one hundred eighty-eight million, nine hundred sixty-one thousand, six hundred".