492868084800 has 2016 divisors, whose sum is σ = 2149654913280. Its totient is φ = 96613171200.

The previous prime is 492868084789. The next prime is 492868084817. The reversal of 492868084800 is 8480868294.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6751617564 + ... + 6751617636.

It is an arithmetic number, because the mean of its divisors is an integer number (1066297080).

Almost surely, 2^492868084800 is an apocalyptic number.

492868084800 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 492868084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074827456640).

492868084800 is an abundant number, since it is smaller than the sum of its proper divisors (1656786828480).

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

492868084800 is a wasteful number, since it uses less digits than its factorization.

492868084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 57.

The spelling of 492868084800 in words is "four hundred ninety-two billion, eight hundred sixty-eight million, eighty-four thousand, eight hundred".