492966264384 has 1120 divisors, whose sum is σ = 1762135119360. Its totient is φ = 134568345600.

The previous prime is 492966264379. The next prime is 492966264409. The reversal of 492966264384 is 483462669294.

492966264384 is a `hidden beast` number, since 4 + 9 + 296 + 6 + 264 + 3 + 84 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 3139912434 + ... + 3139912590.

It is an arithmetic number, because the mean of its divisors is an integer number (1573334928).

Almost surely, 2^492966264384 is an apocalyptic number.

492966264384 is a gapful number since it is divisible by the number (44) 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 492966264384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881067559680).

492966264384 is an abundant number, since it is smaller than the sum of its proper divisors (1269168854976).

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

492966264384 is a wasteful number, since it uses less digits than its factorization.

492966264384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 310 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 63.

The spelling of 492966264384 in words is "four hundred ninety-two billion, nine hundred sixty-six million, two hundred sixty-four thousand, three hundred eighty-four".