487910880 has 288 divisors, whose sum is σ = 1857492000. Its totient is φ = 115900416.

The previous prime is 487910851. The next prime is 487910887. The reversal of 487910880 is 88019784.

487910880 is a `hidden beast` number, since 487 + 91 + 0 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487910887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 464596 + ... + 465644.

It is an arithmetic number, because the mean of its divisors is an integer number (6449625).

Almost surely, 2^487910880 is an apocalyptic number.

487910880 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 487910880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928746000).

487910880 is an abundant number, since it is smaller than the sum of its proper divisors (1369581120).

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

487910880 is a wasteful number, since it uses less digits than its factorization.

487910880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 487910880 is about 22088.7048058504. The cubic root of 487910880 is about 787.2515073872.

The spelling of 487910880 in words is "four hundred eighty-seven million, nine hundred ten thousand, eight hundred eighty".