486100560 has 240 divisors, whose sum is σ = 1745513280. Its totient is φ = 111513600.

The previous prime is 486100543. The next prime is 486100583. The reversal of 486100560 is 65001684.

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 (30).

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, 551320 + ... + 552200.

It is an arithmetic number, because the mean of its divisors is an integer number (7272972).

Almost surely, 2^486100560 is an apocalyptic number.

486100560 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 486100560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872756640).

486100560 is an abundant number, since it is smaller than the sum of its proper divisors (1259412720).

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

486100560 is a wasteful number, since it uses less digits than its factorization.

486100560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 486100560 is about 22047.6883141975. The cubic root of 486100560 is about 786.2766412215.

The spelling of 486100560 in words is "four hundred eighty-six million, one hundred thousand, five hundred sixty".