48480120 has 160 divisors (see below), whose sum is σ = 175633920. Its totient is φ = 11923200.

The previous prime is 48480109. The next prime is 48480127. The reversal of 48480120 is 2108484.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48480127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41545 + ... + 42695.

It is an arithmetic number, because the mean of its divisors is an integer number (1097712).

Almost surely, 2^48480120 is an apocalyptic number.

48480120 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 48480120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87816960).

48480120 is an abundant number, since it is smaller than the sum of its proper divisors (127153800).

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

48480120 is a wasteful number, since it uses less digits than its factorization.

48480120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 48480120 is about 6962.7666914812. The cubic root of 48480120 is about 364.6318173852.

The spelling of 48480120 in words is "forty-eight million, four hundred eighty thousand, one hundred twenty".