490992 has 40 divisors (see below), whose sum is σ = 1299024. Its totient is φ = 159744.

The previous prime is 490991. The next prime is 490993. The reversal of 490992 is 299094.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (490991) and next prime (490993).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490991) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2448 + ... + 2640.

2⁴⁹⁰⁹⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649512).

490992 is an abundant number, since it is smaller than the sum of its proper divisors (808032).

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

490992 is a wasteful number, since it uses less digits than its factorization.

490992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 490992 is about 700.7082131672. The cubic root of 490992 is about 78.8905175738.

The spelling of 490992 in words is "four hundred ninety thousand, nine hundred ninety-two".