492410880 has 384 divisors, whose sum is σ = 1898769600. Its totient is φ = 120324096.

The previous prime is 492410857. The next prime is 492410909. The reversal of 492410880 is 88014294.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3594172 + ... + 3594308.

Almost surely, 2^492410880 is an apocalyptic number.

492410880 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 492410880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949384800).

492410880 is an abundant number, since it is smaller than the sum of its proper divisors (1406358720).

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

492410880 is a wasteful number, since it uses less digits than its factorization.

492410880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 492410880 is about 22190.3330303986. Note that the first 3 decimals coincide. The cubic root of 492410880 is about 789.6643770092.

The spelling of 492410880 in words is "four hundred ninety-two million, four hundred ten thousand, eight hundred eighty".