48758760 has 160 divisors (see below), whose sum is σ = 166617000. Its totient is φ = 12787200.

The previous prime is 48758741. The next prime is 48758761. The reversal of 48758760 is 6785784.

48758760 is a `hidden beast` number, since 4 + 8 + 7 + 587 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41757444 + 7001316 = 6462^2 + 2646^2 .

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 (48758761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 327166 + ... + 327314.

Almost surely, 2^48758760 is an apocalyptic number.

48758760 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 48758760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83308500).

48758760 is an abundant number, since it is smaller than the sum of its proper divisors (117858240).

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

48758760 is a wasteful number, since it uses less digits than its factorization.

48758760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 48758760 is about 6982.7473103357. The cubic root of 48758760 is about 365.3290583560.

The spelling of 48758760 in words is "forty-eight million, seven hundred fifty-eight thousand, seven hundred sixty".