492868080 has 240 divisors, whose sum is σ = 1781698464. Its totient is φ = 121651200.

The previous prime is 492868003. The next prime is 492868091. The reversal of 492868080 is 80868294.

It is a happy number.

492868080 is a `hidden beast` number, since 492 + 8 + 6 + 80 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 819780 + ... + 820380.

Almost surely, 2^492868080 is an apocalyptic number.

492868080 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 492868080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890849232).

492868080 is an abundant number, since it is smaller than the sum of its proper divisors (1288830384).

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

492868080 is a wasteful number, since it uses less digits than its factorization.

492868080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 492868080 is about 22200.6324234243. The cubic root of 492868080 is about 789.9087006599.

The spelling of 492868080 in words is "four hundred ninety-two million, eight hundred sixty-eight thousand, eighty".