492528341760 has 1152 divisors, whose sum is σ = 1993211996160. Its totient is φ = 100902371328.

The previous prime is 492528341759. The next prime is 492528341777. The reversal of 492528341760 is 67143825294.

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 127 ways as a sum of consecutive naturals, for example, 2551960224 + ... + 2551960416.

It is a 1-persistent number, because it is pandigital, but 2⋅492528341760 = 985056683520 is not.

Almost surely, 2^492528341760 is an apocalyptic number.

492528341760 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 492528341760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996605998080).

492528341760 is an abundant number, since it is smaller than the sum of its proper divisors (1500683654400).

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

492528341760 is a wasteful number, since it uses less digits than its factorization.

492528341760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

It can be divided in two parts, 4925 and 28341760, that added together give a triangular number (28346685 = T₇₅₂₉).

The spelling of 492528341760 in words is "four hundred ninety-two billion, five hundred twenty-eight million, three hundred forty-one thousand, seven hundred sixty".