492386112 has 126 divisors (see below), whose sum is σ = 1449376578. Its totient is φ = 159763968.

The previous prime is 492386107. The next prime is 492386117. The reversal of 492386112 is 211683294.

492386112 is a `hidden beast` number, since 4 + 9 + 2 + 38 + 611 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (492386107) and next prime (492386117).

It can be written as a sum of positive squares in only one way, i.e., 455224896 + 37161216 = 21336^2 + 6096^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492386117) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3876993 + ... + 3877119.

Almost surely, 2^492386112 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 492386112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724688289).

492386112 is an abundant number, since it is smaller than the sum of its proper divisors (956990466).

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

492386112 is a wasteful number, since it uses less digits than its factorization.

492386112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 185 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 492386112 is about 22189.7749425270. The cubic root of 492386112 is about 789.6511368907.

The spelling of 492386112 in words is "four hundred ninety-two million, three hundred eighty-six thousand, one hundred twelve".