492348672 has 288 divisors, whose sum is σ = 1609036800. Its totient is φ = 147806208.

The previous prime is 492348643. The next prime is 492348673. The reversal of 492348672 is 276843294.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492348673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3020463 + ... + 3020625.

Almost surely, 2^492348672 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 492348672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804518400).

492348672 is an abundant number, since it is smaller than the sum of its proper divisors (1116688128).

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

492348672 is a wasteful number, since it uses less digits than its factorization.

492348672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 210 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 492348672 is about 22188.9312946793. The cubic root of 492348672 is about 789.6311219152.

The spelling of 492348672 in words is "four hundred ninety-two million, three hundred forty-eight thousand, six hundred seventy-two".