487680000 has 240 divisors, whose sum is σ = 1637475840. Its totient is φ = 129024000.

The previous prime is 487679987. The next prime is 487680007. The reversal of 487680000 is 86784.

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

It is not an unprimeable number, because it can be changed into a prime (487680007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3839937 + ... + 3840063.

It is an arithmetic number, because the mean of its divisors is an integer number (6822816).

Almost surely, 2^487680000 is an apocalyptic number.

487680000 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 487680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818737920).

487680000 is an abundant number, since it is smaller than the sum of its proper divisors (1149795840).

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

487680000 is an equidigital number, since it uses as much as digits as its factorization.

487680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 487680000 is about 22083.4779869476. The cubic root of 487680000 is about 787.1273116835.

It can be divided in two parts, 48 and 7680000, that multiplied together give a square (368640000 = 19200²).

The spelling of 487680000 in words is "four hundred eighty-seven million, six hundred eighty thousand".