492429168 has 240 divisors, whose sum is σ = 1740960000. Its totient is φ = 126213120.

The previous prime is 492429167. The next prime is 492429169. The reversal of 492429168 is 861924294.

It is an interprime number because it is at equal distance from previous prime (492429167) and next prime (492429169).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492429167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 986583 + ... + 987081.

It is an arithmetic number, because the mean of its divisors is an integer number (7254000).

Almost surely, 2^492429168 is an apocalyptic number.

492429168 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 492429168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870480000).

492429168 is an abundant number, since it is smaller than the sum of its proper divisors (1248530832).

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

492429168 is a wasteful number, since it uses less digits than its factorization.

492429168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 611 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 492429168 is about 22190.7450979006. The cubic root of 492429168 is about 789.6741528583.

The spelling of 492429168 in words is "four hundred ninety-two million, four hundred twenty-nine thousand, one hundred sixty-eight".