492939174240 has 288 divisors, whose sum is σ = 1745373782880. Its totient is φ = 126537449472.

The previous prime is 492939174227. The next prime is 492939174283. The reversal of 492939174240 is 42471939294.

492939174240 is a `hidden beast` number, since 4 + 9 + 2 + 9 + 391 + 7 + 4 + 240 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14055607 + ... + 14090633.

It is an arithmetic number, because the mean of its divisors is an integer number (6060325635).

Almost surely, 2^492939174240 is an apocalyptic number.

492939174240 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 492939174240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872686891440).

492939174240 is an abundant number, since it is smaller than the sum of its proper divisors (1252434608640).

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

492939174240 is a wasteful number, since it uses less digits than its factorization.

492939174240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35414 (or 35403 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 492939174240 in words is "four hundred ninety-two billion, nine hundred thirty-nine million, one hundred seventy-four thousand, two hundred forty".