492814224 has 120 divisors (see below), whose sum is σ = 1669000320. Its totient is φ = 132516864.

The previous prime is 492814199. The next prime is 492814291. The reversal of 492814224 is 422418294.

492814224 is a `hidden beast` number, since 492 + 8 + 142 + 24 = 666.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2757 + ... + 31515.

It is an arithmetic number, because the mean of its divisors is an integer number (13908336).

Almost surely, 2^492814224 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 492814224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834500160).

492814224 is an abundant number, since it is smaller than the sum of its proper divisors (1176186096).

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

492814224 is a wasteful number, since it uses less digits than its factorization.

492814224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28797 (or 28788 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 492814224 is about 22199.4194518686. The cubic root of 492814224 is about 789.8799283411.

The spelling of 492814224 in words is "four hundred ninety-two million, eight hundred fourteen thousand, two hundred twenty-four".