487882080 has 288 divisors, whose sum is σ = 1969531200. Its totient is φ = 107606016.

The previous prime is 487882079. The next prime is 487882091. The reversal of 487882080 is 80288784.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 291486 + ... + 293154.

It is an arithmetic number, because the mean of its divisors is an integer number (6838650).

Almost surely, 2^487882080 is an apocalyptic number.

487882080 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 487882080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984765600).

487882080 is an abundant number, since it is smaller than the sum of its proper divisors (1481649120).

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

487882080 is a wasteful number, since it uses less digits than its factorization.

487882080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 487882080 is about 22088.0528793282. The cubic root of 487882080 is about 787.2360173388.

The spelling of 487882080 in words is "four hundred eighty-seven million, eight hundred eighty-two thousand, eighty".