492617160 has 256 divisors, whose sum is σ = 1987545600. Its totient is φ = 105947136.

The previous prime is 492617093. The next prime is 492617179. The reversal of 492617160 is 61716294.

492617160 is a `hidden beast` number, since 492 + 6 + 1 + 7 + 160 = 666.

It is a super-3 number, since 3×492617160³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 126604 + ... + 130436.

It is an arithmetic number, because the mean of its divisors is an integer number (7763850).

Almost surely, 2^492617160 is an apocalyptic number.

492617160 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 492617160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993772800).

492617160 is an abundant number, since it is smaller than the sum of its proper divisors (1494928440).

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

492617160 is a wasteful number, since it uses less digits than its factorization.

492617160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3877 (or 3867 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 492617160 is about 22194.9805136206. The cubic root of 492617160 is about 789.7746299392.

The spelling of 492617160 in words is "four hundred ninety-two million, six hundred seventeen thousand, one hundred sixty".