490683676200 has 192 divisors, whose sum is σ = 1542692511360. Its totient is φ = 129003601920.

The previous prime is 490683676193. The next prime is 490683676207. The reversal of 490683676200 is 2676386094.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (490683676193) and next prime (490683676207).

It is not an unprimeable number, because it can be changed into a prime (490683676207) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 15290572 + ... + 15322628.

It is an arithmetic number, because the mean of its divisors is an integer number (8034856830).

Almost surely, 2^490683676200 is an apocalyptic number.

490683676200 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 490683676200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771346255680).

490683676200 is an abundant number, since it is smaller than the sum of its proper divisors (1052008835160).

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

490683676200 is a wasteful number, since it uses less digits than its factorization.

490683676200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32436 (or 32427 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 490683676200 in words is "four hundred ninety billion, six hundred eighty-three million, six hundred seventy-six thousand, two hundred".