492903936000 has 1872 divisors, whose sum is σ = 2158810786080. Its totient is φ = 107760844800.

The previous prime is 492903935971. The next prime is 492903936011. The reversal of 492903936000 is 639309294.

492903936000 is a `hidden beast` number, since 4 + 9 + 2 + 9 + 0 + 39 + 3 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8354303971 + ... + 8354304029.

It is an arithmetic number, because the mean of its divisors is an integer number (1153210890).

Almost surely, 2^492903936000 is an apocalyptic number.

492903936000 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 492903936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079405393040).

492903936000 is an abundant number, since it is smaller than the sum of its proper divisors (1665906850080).

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

492903936000 is a wasteful number, since it uses less digits than its factorization.

492903936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 492903936000 in words is "four hundred ninety-two billion, nine hundred three million, nine hundred thirty-six thousand".