487181760 has 224 divisors, whose sum is σ = 1686397440. Its totient is φ = 118444032.

The previous prime is 487181753. The next prime is 487181819. The reversal of 487181760 is 67181784.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 1285251 + ... + 1285629.

It is an arithmetic number, because the mean of its divisors is an integer number (7528560).

Almost surely, 2^487181760 is an apocalyptic number.

487181760 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 487181760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843198720).

487181760 is an abundant number, since it is smaller than the sum of its proper divisors (1199215680).

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

487181760 is a wasteful number, since it uses less digits than its factorization.

487181760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The square root of 487181760 is about 22072.1942724325. The cubic root of 487181760 is about 786.8591632088.

The spelling of 487181760 in words is "four hundred eighty-seven million, one hundred eighty-one thousand, seven hundred sixty".