487681560 has 192 divisors, whose sum is σ = 1660538880. Its totient is φ = 128718720.

The previous prime is 487681547. The next prime is 487681561. The reversal of 487681560 is 65186784.

It is a happy number.

487681560 is a `hidden beast` number, since 4 + 8 + 7 + 6 + 81 + 560 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (487681561) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1273129 + ... + 1273511.

It is an arithmetic number, because the mean of its divisors is an integer number (8648640).

Almost surely, 2^487681560 is an apocalyptic number.

487681560 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 487681560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830269440).

487681560 is an abundant number, since it is smaller than the sum of its proper divisors (1172857320).

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

487681560 is a wasteful number, since it uses less digits than its factorization.

487681560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 487681560 is about 22083.5133074427. The cubic root of 487681560 is about 787.1281509751.

It can be divided in two parts, 4876 and 81560, that added together give a square (86436 = 294²).

The spelling of 487681560 in words is "four hundred eighty-seven million, six hundred eighty-one thousand, five hundred sixty".