492800112 has 240 divisors, whose sum is σ = 1722389760. Its totient is φ = 133249536.

The previous prime is 492800111. The next prime is 492800173. The reversal of 492800112 is 211008294.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492800111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 516628 + ... + 517580.

It is an arithmetic number, because the mean of its divisors is an integer number (7176624).

Almost surely, 2^492800112 is an apocalyptic number.

492800112 is a gapful number since it is divisible by the number (42) 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 492800112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861194880).

492800112 is an abundant number, since it is smaller than the sum of its proper divisors (1229589648).

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

492800112 is a wasteful number, since it uses less digits than its factorization.

492800112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 492800112 is about 22199.1016034433. The cubic root of 492800112 is about 789.8723887238.

It can be divided in two parts, 49 and 2800112, that added together give a triangular number (2800161 = T₂₃₆₆).

The spelling of 492800112 in words is "four hundred ninety-two million, eight hundred thousand, one hundred twelve".