492314880 has 288 divisors, whose sum is σ = 1668885120. Its totient is φ = 123535360.

The previous prime is 492314873. The next prime is 492314881. The reversal of 492314880 is 88413294.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492314881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8344291 + ... + 8344349.

It is an arithmetic number, because the mean of its divisors is an integer number (5794740).

Almost surely, 2^492314880 is an apocalyptic number.

492314880 is a gapful number since it is divisible by the number (40) 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 492314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834442560).

492314880 is an abundant number, since it is smaller than the sum of its proper divisors (1176570240).

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

492314880 is a wasteful number, since it uses less digits than its factorization.

492314880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 492314880 is about 22188.1698208753. The cubic root of 492314880 is about 789.6130562456.

The spelling of 492314880 in words is "four hundred ninety-two million, three hundred fourteen thousand, eight hundred eighty".