48386560 has 80 divisors (see below), whose sum is σ = 119101752. Its totient is φ = 18841600.

The previous prime is 48386557. The next prime is 48386579. The reversal of 48386560 is 6568384.

It can be written as a sum of positive squares in 4 ways, for example, as 21678336 + 26708224 = 4656^2 + 5168^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104730 + ... + 105190.

Almost surely, 2^48386560 is an apocalyptic number.

48386560 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 48386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59550876).

48386560 is an abundant number, since it is smaller than the sum of its proper divisors (70715192).

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

48386560 is an equidigital number, since it uses as much as digits as its factorization.

48386560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 48386560 is about 6956.0448532194. The cubic root of 48386560 is about 364.3971031551.

The spelling of 48386560 in words is "forty-eight million, three hundred eighty-six thousand, five hundred sixty".