48809376 has 288 divisors, whose sum is σ = 181149696. Its totient is φ = 12096000.

The previous prime is 48809351. The next prime is 48809377. The reversal of 48809376 is 67390884.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (48809377) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 687421 + ... + 687491.

It is an arithmetic number, because the mean of its divisors is an integer number (628992).

Almost surely, 2^48809376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48809376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90574848).

48809376 is an abundant number, since it is smaller than the sum of its proper divisors (132340320).

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

48809376 is a wasteful number, since it uses less digits than its factorization.

48809376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 48809376 is about 6986.3707316460. The cubic root of 48809376 is about 365.4554294989.

The spelling of 48809376 in words is "forty-eight million, eight hundred nine thousand, three hundred seventy-six".