492 has 12 divisors (see below), whose sum is σ = 1176. Its totient is φ = 160.

The previous prime is 491. The next prime is 499. The reversal of 492 is 294.

492 = 4² + 5² + ... + 11².

492 is nontrivially palindromic in base 9 and base 14.

492 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (12).

It is an alternating number because its digits alternate between even and odd.

492 is an undulating number in base 9 and base 14.

It is a plaindrome in base 13 and base 15.

It is a nialpdrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 492.

It is not an unprimeable number, because it can be changed into a prime (491) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9 + ... + 32.

It is an arithmetic number, because the mean of its divisors is an integer number (98).

It is an amenable number.

492 is an abundant number, since it is smaller than the sum of its proper divisors (684).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588).

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

With its successor (493) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (46).

492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 46 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 492 is about 22.1810730128. The cubic root of 492 is about 7.8944467730.

The spelling of 492 in words is "four hundred ninety-two", and thus it is an aban number.