48785760 has 192 divisors, whose sum is σ = 178536960. Its totient is φ = 12418560.

The previous prime is 48785753. The next prime is 48785791. The reversal of 48785760 is 6758784.

48785760 is a `hidden beast` number, since 4 + 8 + 78 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99115 + ... + 99605.

It is an arithmetic number, because the mean of its divisors is an integer number (929880).

Almost surely, 2^48785760 is an apocalyptic number.

48785760 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 48785760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89268480).

48785760 is an abundant number, since it is smaller than the sum of its proper divisors (129751200).

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

48785760 is a wasteful number, since it uses less digits than its factorization.

48785760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 524 counting only the distinct ones).

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

The square root of 48785760 is about 6984.6803792300. The cubic root of 48785760 is about 365.3964791602.

48785760 divided by its sum of digits (45) gives a triangular number (1084128 = T₁₄₇₂).

The spelling of 48785760 in words is "forty-eight million, seven hundred eighty-five thousand, seven hundred sixty".