48580560 has 420 divisors, whose sum is σ = 208583748. Its totient is φ = 10450944.

The previous prime is 48580559. The next prime is 48580589. The reversal of 48580560 is 6508584.

It is a happy number.

48580560 is a `hidden beast` number, since 48 + 58 + 0 + 560 = 666.

48580560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 28005264 + 20575296 = 5292^2 + 4536^2 .

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 83 ways as a sum of consecutive naturals, for example, 2857672 + ... + 2857688.

Almost surely, 2^48580560 is an apocalyptic number.

48580560 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 48580560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104291874).

48580560 is an abundant number, since it is smaller than the sum of its proper divisors (160003188).

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

48580560 is a wasteful number, since it uses less digits than its factorization.

48580560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 48580560 is about 6969.9756097134. The cubic root of 48580560 is about 364.8834556293.

The spelling of 48580560 in words is "forty-eight million, five hundred eighty thousand, five hundred sixty".