492924080 has 80 divisors (see below), whose sum is σ = 1261553184. Its totient is φ = 177623040.

The previous prime is 492924077. The next prime is 492924119. The reversal of 492924080 is 80429294.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96962 + ... + 101918.

Almost surely, 2^492924080 is an apocalyptic number.

492924080 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 492924080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630776592).

492924080 is an abundant number, since it is smaller than the sum of its proper divisors (768629104).

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

492924080 is a wasteful number, since it uses less digits than its factorization.

492924080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5094 (or 5088 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 492924080 is about 22201.8936129331. The cubic root of 492924080 is about 789.9386161780.

The spelling of 492924080 in words is "four hundred ninety-two million, nine hundred twenty-four thousand, eighty".