492676992000 has 1760 divisors, whose sum is σ = 2012328077760. Its totient is φ = 119439360000.

The previous prime is 492676991987. The next prime is 492676992011. The reversal of 492676992000 is 299676294.

492676992000 is a `hidden beast` number, since 492 + 6 + 7 + 69 + 92 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 8076671970 + ... + 8076672030.

It is an arithmetic number, because the mean of its divisors is an integer number (1143368226).

Almost surely, 2^492676992000 is an apocalyptic number.

492676992000 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 492676992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006164038880).

492676992000 is an abundant number, since it is smaller than the sum of its proper divisors (1519651085760).

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

492676992000 is a wasteful number, since it uses less digits than its factorization.

492676992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 492676992000 in words is "four hundred ninety-two billion, six hundred seventy-six million, nine hundred ninety-two thousand".