492075648 has 160 divisors (see below), whose sum is σ = 1512635520. Its totient is φ = 158630400.

The previous prime is 492075637. The next prime is 492075667. The reversal of 492075648 is 846570294.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 320643 + ... + 322173.

It is an arithmetic number, because the mean of its divisors is an integer number (9453972).

Almost surely, 2^492075648 is an apocalyptic number.

492075648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492075648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756317760).

492075648 is an abundant number, since it is smaller than the sum of its proper divisors (1020559872).

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

492075648 is a wasteful number, since it uses less digits than its factorization.

492075648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 492075648 is about 22182.7781848893. The cubic root of 492075648 is about 789.4851358676.

The spelling of 492075648 in words is "four hundred ninety-two million, seventy-five thousand, six hundred forty-eight".