48286080 has 192 divisors, whose sum is σ = 170417520. Its totient is φ = 12595200.

The previous prime is 48286067. The next prime is 48286081. The reversal of 48286080 is 8068284.

48286080 is a `hidden beast` number, since 48 + 2 + 8 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48286081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 478030 + ... + 478130.

Almost surely, 2^48286080 is an apocalyptic number.

48286080 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 48286080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85208760).

48286080 is an abundant number, since it is smaller than the sum of its proper divisors (122131440).

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

48286080 is a wasteful number, since it uses less digits than its factorization.

48286080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 48286080 is about 6948.8186046263. The cubic root of 48286080 is about 364.1446915008.

The spelling of 48286080 in words is "forty-eight million, two hundred eighty-six thousand, eighty".