490589773459200 has 1728 divisors, whose sum is σ = 1939674679541760. Its totient is φ = 120976644096000.

The previous prime is 490589773459157. The next prime is 490589773459277. The reversal of 490589773459200 is 2954377985094.

490589773459200 is a `hidden beast` number, since 4 + 9 + 0 + 5 + 8 + 9 + 77 + 345 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 212284626045 + ... + 212284628355.

Almost surely, 2^{490589773459200} is an apocalyptic number.

490589773459200 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 490589773459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969837339770880).

490589773459200 is an abundant number, since it is smaller than the sum of its proper divisors (1449084906082560).

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

490589773459200 is a wasteful number, since it uses less digits than its factorization.

490589773459200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4123 (or 4098 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 490589773459200 in words is "four hundred ninety trillion, five hundred eighty-nine billion, seven hundred seventy-three million, four hundred fifty-nine thousand, two hundred".