492738880 has 112 divisors (see below), whose sum is σ = 1266535440. Its totient is φ = 181895168.

The previous prime is 492738877. The next prime is 492738881. The reversal of 492738880 is 88837294.

It can be written as a sum of positive squares in 8 ways, for example, as 254016 + 492484864 = 504^2 + 22192^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492738881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287466 + ... + 289174.

Almost surely, 2^492738880 is an apocalyptic number.

492738880 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 492738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633267720).

492738880 is an abundant number, since it is smaller than the sum of its proper divisors (773796560).

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

492738880 is a wasteful number, since it uses less digits than its factorization.

492738880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

The square root of 492738880 is about 22197.7224056884. The cubic root of 492738880 is about 789.8396726399.

The spelling of 492738880 in words is "four hundred ninety-two million, seven hundred thirty-eight thousand, eight hundred eighty".