492881760 has 288 divisors, whose sum is σ = 1994533632. Its totient is φ = 112596480.

The previous prime is 492881729. The next prime is 492881777. The reversal of 492881760 is 67188294.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271255 + ... + 273065.

It is an arithmetic number, because the mean of its divisors is an integer number (6925464).

Almost surely, 2^492881760 is an apocalyptic number.

492881760 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 492881760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997266816).

492881760 is an abundant number, since it is smaller than the sum of its proper divisors (1501651872).

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

492881760 is a wasteful number, since it uses less digits than its factorization.

492881760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 492881760 is about 22200.9405206176. The cubic root of 492881760 is about 789.9160088027.

The spelling of 492881760 in words is "four hundred ninety-two million, eight hundred eighty-one thousand, seven hundred sixty".