492048488880 has 720 divisors, whose sum is σ = 1885449234240. Its totient is φ = 114719514624.

The previous prime is 492048488863. The next prime is 492048488887. The reversal of 492048488880 is 88884840294.

492048488880 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×492048488880² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (492048488887) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 305050954 + ... + 305052566.

It is an arithmetic number, because the mean of its divisors is an integer number (2618679492).

Almost surely, 2^492048488880 is an apocalyptic number.

492048488880 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 492048488880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942724617120).

492048488880 is an abundant number, since it is smaller than the sum of its proper divisors (1393400745360).

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

492048488880 is a wasteful number, since it uses less digits than its factorization.

492048488880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 37748736, while the sum is 63.

It can be divided in two parts, 49204 and 8488880, that added together give a square (8538084 = 2922²).

The spelling of 492048488880 in words is "four hundred ninety-two billion, forty-eight million, four hundred eighty-eight thousand, eight hundred eighty".