492840 has 72 divisors (see below), whose sum is σ = 1646190. Its totient is φ = 127872.

The previous prime is 492839. The next prime is 492853. The reversal of 492840 is 48294.

It can be written as a sum of positive squares in 3 ways, for example, as 492804 + 36 = 702^2 + 6^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13302 + ... + 13338.

2⁴⁹²⁸⁴⁰ is an apocalyptic number.

492840 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 492840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823095).

492840 is an abundant number, since it is smaller than the sum of its proper divisors (1153350).

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

492840 is a wasteful number, since it uses less digits than its factorization.

492840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 492840 is about 702.0256405574. The cubic root of 492840 is about 78.9893699311.

The spelling of 492840 in words is "four hundred ninety-two thousand, eight hundred forty".