492381792 has 432 divisors, whose sum is σ = 1788145632. Its totient is φ = 127733760.

The previous prime is 492381779. The next prime is 492381803. The reversal of 492381792 is 297183294.

It is a nude number because it is divisible by every one of its digits.

It is a congruent 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 71 ways as a sum of consecutive naturals, for example, 12009292 + ... + 12009332.

It is an arithmetic number, because the mean of its divisors is an integer number (4139226).

Almost surely, 2^492381792 is an apocalyptic number.

492381792 is a gapful number since it is divisible by the number (42) 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 492381792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894072816).

492381792 is an abundant number, since it is smaller than the sum of its proper divisors (1295763840).

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

492381792 is a wasteful number, since it uses less digits than its factorization.

492381792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 113 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 492381792 is about 22189.6776001816. The cubic root of 492381792 is about 789.6488275223.

The spelling of 492381792 in words is "four hundred ninety-two million, three hundred eighty-one thousand, seven hundred ninety-two".