492655968 has 144 divisors (see below), whose sum is σ = 1652990976. Its totient is φ = 136200960.

The previous prime is 492655963. The next prime is 492655979. The reversal of 492655968 is 869556294.

It is a happy number.

492655968 is a `hidden beast` number, since 4 + 9 + 26 + 559 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492655963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58555 + ... + 66437.

It is an arithmetic number, because the mean of its divisors is an integer number (11479104).

Almost surely, 2^492655968 is an apocalyptic number.

492655968 is a gapful number since it is divisible by the number (48) 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 492655968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826495488).

492655968 is an abundant number, since it is smaller than the sum of its proper divisors (1160335008).

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

492655968 is a wasteful number, since it uses less digits than its factorization.

492655968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7937 (or 7926 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The square root of 492655968 is about 22195.8547481281. The cubic root of 492655968 is about 789.7953686734.

The spelling of 492655968 in words is "four hundred ninety-two million, six hundred fifty-five thousand, nine hundred sixty-eight".