492905505312 has 240 divisors, whose sum is σ = 1650164104512. Its totient is φ = 142870970880.

The previous prime is 492905505311. The next prime is 492905505317. The reversal of 492905505312 is 213505509294.

492905505312 is a `hidden beast` number, since 4 + 9 + 2 + 90 + 550 + 5 + 3 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (492905505311) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 279958 + ... + 1031594.

Almost surely, 2^492905505312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492905505312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825082052256).

492905505312 is an abundant number, since it is smaller than the sum of its proper divisors (1157258599200).

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

492905505312 is a wasteful number, since it uses less digits than its factorization.

492905505312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751693 (or 751676 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 492905505312 in words is "four hundred ninety-two billion, nine hundred five million, five hundred five thousand, three hundred twelve".