492627018240 has 1920 divisors, whose sum is σ = 2162021621760. Its totient is φ = 105122562048.

The previous prime is 492627018209. The next prime is 492627018241. The reversal of 492627018240 is 42810726294.

492627018240 is a `hidden beast` number, since 4 + 9 + 2 + 627 + 0 + 18 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is not an unprimeable number, because it can be changed into a prime (492627018241) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 5935265239 + ... + 5935265321.

It is an arithmetic number, because the mean of its divisors is an integer number (1126052928).

Almost surely, 2^492627018240 is an apocalyptic number.

492627018240 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 492627018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081010810880).

492627018240 is an abundant number, since it is smaller than the sum of its proper divisors (1669394603520).

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

492627018240 is an equidigital number, since it uses as much as digits as its factorization.

492627018240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 492627018240 in words is "four hundred ninety-two billion, six hundred twenty-seven million, eighteen thousand, two hundred forty".