492105800 has 48 divisors (see below), whose sum is σ = 1211457060. Its totient is φ = 185262080.

The previous prime is 492105797. The next prime is 492105869. The reversal of 492105800 is 8501294.

It can be written as a sum of positive squares in 6 ways, for example, as 115047076 + 377058724 = 10726^2 + 19418^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 68969 + ... + 75768.

Almost surely, 2^492105800 is an apocalyptic number.

492105800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

492105800 is an abundant number, since it is smaller than the sum of its proper divisors (719351260).

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

492105800 is a wasteful number, since it uses less digits than its factorization.

492105800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144770 (or 144761 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 492105800 is about 22183.4578008028. The cubic root of 492105800 is about 789.5012608067.

The spelling of 492105800 in words is "four hundred ninety-two million, one hundred five thousand, eight hundred".