48256560 has 200 divisors, whose sum is σ = 183108816. Its totient is φ = 11681280.

The previous prime is 48256543. The next prime is 48256567. The reversal of 48256560 is 6565284.

48256560 is a `hidden beast` number, since 48 + 2 + 56 + 560 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (48256567) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70942 + ... + 71618.

Almost surely, 2^48256560 is an apocalyptic number.

48256560 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 48256560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91554408).

48256560 is an abundant number, since it is smaller than the sum of its proper divisors (134852256).

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

48256560 is a wasteful number, since it uses less digits than its factorization.

48256560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 48256560 is about 6946.6941778086. The cubic root of 48256560 is about 364.0704689875.

The spelling of 48256560 in words is "forty-eight million, two hundred fifty-six thousand, five hundred sixty".