492900 has 72 divisors (see below), whose sum is σ = 1499904. Its totient is φ = 124800.

The previous prime is 492893. The next prime is 492901. The reversal of 492900 is 9294.

492900 = T₄₅ + T₄₆ + ... + T₁₄₄.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 492900.

It is not an unprimeable number, because it can be changed into a prime (492901) by changing a digit.

492900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9274 + ... + 9326.

It is an arithmetic number, because the mean of its divisors is an integer number (20832).

2⁴⁹²⁹⁰⁰ 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 492900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749952).

492900 is an abundant number, since it is smaller than the sum of its proper divisors (1007004).

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

492900 is a wasteful number, since it uses less digits than its factorization.

492900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 492900 is about 702.0683727387. The cubic root of 492900 is about 78.9925752783.

The spelling of 492900 in words is "four hundred ninety-two thousand, nine hundred".