492141312 has 144 divisors (see below), whose sum is σ = 1567584480. Its totient is φ = 151400448.

The previous prime is 492141311. The next prime is 492141319. The reversal of 492141312 is 213141294.

It is a happy number.

492141312 is a `hidden beast` number, since 492 + 141 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (492141311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87118 + ... + 92594.

Almost surely, 2^492141312 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 492141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783792240).

492141312 is an abundant number, since it is smaller than the sum of its proper divisors (1075443168).

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

492141312 is a wasteful number, since it uses less digits than its factorization.

492141312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5515 (or 5495 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 492141312 is about 22184.2582026084. The cubic root of 492141312 is about 789.5202513669.

The spelling of 492141312 in words is "four hundred ninety-two million, one hundred forty-one thousand, three hundred twelve".