492577760 has 96 divisors (see below), whose sum is σ = 1227169440. Its totient is φ = 186554368.

The previous prime is 492577747. The next prime is 492577763. The reversal of 492577760 is 67775294.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492577763) 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, 244919 + ... + 246921.

It is an arithmetic number, because the mean of its divisors is an integer number (12783015).

Almost surely, 2^492577760 is an apocalyptic number.

492577760 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 492577760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613584720).

492577760 is an abundant number, since it is smaller than the sum of its proper divisors (734591680).

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

492577760 is a wasteful number, since it uses less digits than its factorization.

492577760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 47.

The square root of 492577760 is about 22194.0929077987. The cubic root of 492577760 is about 789.7535737299.

The spelling of 492577760 in words is "four hundred ninety-two million, five hundred seventy-seven thousand, seven hundred sixty".