486556560 has 240 divisors, whose sum is σ = 1966124160. Its totient is φ = 105338880.

The previous prime is 486556537. The next prime is 486556561. The reversal of 486556560 is 65655684.

It is a happy number.

486556560 is a `hidden beast` number, since 4 + 86 + 5 + 5 + 6 + 560 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (486556561) 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, 93220 + ... + 98300.

It is an arithmetic number, because the mean of its divisors is an integer number (8192184).

Almost surely, 2^486556560 is an apocalyptic number.

486556560 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 486556560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983062080).

486556560 is an abundant number, since it is smaller than the sum of its proper divisors (1479567600).

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

486556560 is a wasteful number, since it uses less digits than its factorization.

486556560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5126 (or 5117 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The square root of 486556560 is about 22058.0271103288. The cubic root of 486556560 is about 786.5224271918.

It can be divided in two parts, 4865 and 56560, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 486556560 in words is "four hundred eighty-six million, five hundred fifty-six thousand, five hundred sixty".