48359120 has 40 divisors (see below), whose sum is σ = 113805216. Its totient is φ = 19107968.

The previous prime is 48359117. The next prime is 48359149. The reversal of 48359120 is 2195384.

48359120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2999 + ... + 10281.

Almost surely, 2^48359120 is an apocalyptic number.

48359120 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 48359120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56902608).

48359120 is an abundant number, since it is smaller than the sum of its proper divisors (65446096).

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

48359120 is a wasteful number, since it uses less digits than its factorization.

48359120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7379 (or 7373 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 48359120 is about 6954.0721882937. The cubic root of 48359120 is about 364.3282069763.

The spelling of 48359120 in words is "forty-eight million, three hundred fifty-nine thousand, one hundred twenty".