48814080 has 192 divisors, whose sum is σ = 179262720. Its totient is φ = 11108352.

The previous prime is 48814037. The next prime is 48814081. The reversal of 48814080 is 8041884.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48814081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214927 + ... + 215153.

It is an arithmetic number, because the mean of its divisors is an integer number (933660).

Almost surely, 2^48814080 is an apocalyptic number.

48814080 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 48814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).

48814080 is an abundant number, since it is smaller than the sum of its proper divisors (130448640).

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

48814080 is a wasteful number, since it uses less digits than its factorization.

48814080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 48814080 is about 6986.7073790162. The cubic root of 48814080 is about 365.4671693685.

The spelling of 48814080 in words is "forty-eight million, eight hundred fourteen thousand, eighty".