492147205920 has 288 divisors, whose sum is σ = 1735244259840. Its totient is φ = 126887362560.

The previous prime is 492147205873. The next prime is 492147205933. The reversal of 492147205920 is 29502741294.

492147205920 is a `hidden beast` number, since 4 + 92 + 1 + 472 + 0 + 5 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 54322351 + ... + 54331409.

It is an arithmetic number, because the mean of its divisors is an integer number (6025153680).

Almost surely, 2^492147205920 is an apocalyptic number.

492147205920 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 492147205920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867622129920).

492147205920 is an abundant number, since it is smaller than the sum of its proper divisors (1243097053920).

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

492147205920 is a wasteful number, since it uses less digits than its factorization.

492147205920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10328 (or 10317 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 492147205920 in words is "four hundred ninety-two billion, one hundred forty-seven million, two hundred five thousand, nine hundred twenty".