492307200000 has 2304 divisors, whose sum is σ = 2334000614400. Its totient is φ = 99532800000.

The previous prime is 492307199869. The next prime is 492307200001. The reversal of 492307200000 is 2703294.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492307200001) 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 191 ways as a sum of consecutive naturals, for example, 13305599982 + ... + 13305600018.

It is an arithmetic number, because the mean of its divisors is an integer number (1013021100).

Almost surely, 2^492307200000 is an apocalyptic number.

492307200000 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 492307200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167000307200).

492307200000 is an abundant number, since it is smaller than the sum of its proper divisors (1841693414400).

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

492307200000 is an equidigital number, since it uses as much as digits as its factorization.

492307200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 492307200000 its reverse (2703294), we get a palindrome (492309903294).

The spelling of 492307200000 in words is "four hundred ninety-two billion, three hundred seven million, two hundred thousand".