492130080 has 480 divisors, whose sum is σ = 1967099904. Its totient is φ = 114960384.

The previous prime is 492130063. The next prime is 492130097. The reversal of 492130080 is 80031294.

It is an interprime number because it is at equal distance from previous prime (492130063) and next prime (492130097).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3874977 + ... + 3875103.

Almost surely, 2^492130080 is an apocalyptic number.

492130080 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 492130080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983549952).

492130080 is an abundant number, since it is smaller than the sum of its proper divisors (1474969824).

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

492130080 is a wasteful number, since it uses less digits than its factorization.

492130080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 492130080 is about 22184.0050486832. The cubic root of 492130080 is about 789.5142449898.

The spelling of 492130080 in words is "four hundred ninety-two million, one hundred thirty thousand, eighty".