48403680 has 96 divisors (see below), whose sum is σ = 164221344. Its totient is φ = 11913216.

The previous prime is 48403673. The next prime is 48403699. The reversal of 48403680 is 8630484.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 2362 + ... + 10118.

It is an arithmetic number, because the mean of its divisors is an integer number (1710639).

Almost surely, 2^48403680 is an apocalyptic number.

48403680 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 48403680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82110672).

48403680 is an abundant number, since it is smaller than the sum of its proper divisors (115817664).

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

48403680 is a wasteful number, since it uses less digits than its factorization.

48403680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7788 (or 7780 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 48403680 is about 6957.2753287476. The cubic root of 48403680 is about 364.4400747488.

The spelling of 48403680 in words is "forty-eight million, four hundred three thousand, six hundred eighty".