492479520 has 192 divisors, whose sum is σ = 1684126080. Its totient is φ = 120966144.

The previous prime is 492479497. The next prime is 492479527. The reversal of 492479520 is 25974294.

It is not an unprimeable number, because it can be changed into a prime (492479527) 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, 1054327 + ... + 1054793.

It is an arithmetic number, because the mean of its divisors is an integer number (8771490).

Almost surely, 2^492479520 is an apocalyptic number.

492479520 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 492479520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842063040).

492479520 is an abundant number, since it is smaller than the sum of its proper divisors (1191646560).

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

492479520 is a wasteful number, since it uses less digits than its factorization.

492479520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 492479520 is about 22191.8795959243. The cubic root of 492479520 is about 789.7010672658.

The spelling of 492479520 in words is "four hundred ninety-two million, four hundred seventy-nine thousand, five hundred twenty".