492107672 has 64 divisors (see below), whose sum is σ = 1095552000. Its totient is φ = 202853376.

The previous prime is 492107663. The next prime is 492107717. The reversal of 492107672 is 276701294.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153704 + ... + 156872.

It is an arithmetic number, because the mean of its divisors is an integer number (17118000).

Almost surely, 2^492107672 is an apocalyptic number.

It is a pronic number, being equal to 22183×22184.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492107672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547776000).

492107672 is an abundant number, since it is smaller than the sum of its proper divisors (603444328).

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

492107672 is a wasteful number, since it uses less digits than its factorization.

492107672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288 (or 3284 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 492107672 is about 22183.4999943652. The cubic root of 492107672 is about 789.5022619088.

The spelling of 492107672 in words is "four hundred ninety-two million, one hundred seven thousand, six hundred seventy-two".