48483120 has 80 divisors (see below), whose sum is σ = 171774720. Its totient is φ = 11081472.

The previous prime is 48483119. The next prime is 48483121. The reversal of 48483120 is 2138484.

48483120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48483119) and next prime (48483121).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×48483120² = 4701225849868800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (48483121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12750 + ... + 16109.

It is an arithmetic number, because the mean of its divisors is an integer number (2147184).

Almost surely, 2^48483120 is an apocalyptic number.

48483120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48483120 is an abundant number, since it is smaller than the sum of its proper divisors (123291600).

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

48483120 is a wasteful number, since it uses less digits than its factorization.

48483120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28882 (or 28876 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 48483120 is about 6962.9821197530. The cubic root of 48483120 is about 364.6393384948.

The spelling of 48483120 in words is "forty-eight million, four hundred eighty-three thousand, one hundred twenty".