492880 has 40 divisors (see below), whose sum is σ = 1176264. Its totient is φ = 192000.

The previous prime is 492871. The next prime is 492883. The reversal of 492880 is 88294.

492880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 46656 + 446224 = 216^2 + 668^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4830 + ... + 4930.

2⁴⁹²⁸⁸⁰ is an apocalyptic number.

492880 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 492880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588132).

492880 is an abundant number, since it is smaller than the sum of its proper divisors (683384).

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

492880 is a wasteful number, since it uses less digits than its factorization.

492880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 492880 is about 702.0541289673. The cubic root of 492880 is about 78.9915068581.

The spelling of 492880 in words is "four hundred ninety-two thousand, eight hundred eighty".