48120480 has 240 divisors, whose sum is σ = 175633920. Its totient is φ = 12400128.

The previous prime is 48120473. The next prime is 48120487. The reversal of 48120480 is 8402184.

It is an interprime number because it is at equal distance from previous prime (48120473) and next prime (48120487).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (48120487) 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 39 ways as a sum of consecutive naturals, for example, 609081 + ... + 609159.

It is an arithmetic number, because the mean of its divisors is an integer number (731808).

Almost surely, 2^48120480 is an apocalyptic number.

48120480 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 48120480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87816960).

48120480 is an abundant number, since it is smaller than the sum of its proper divisors (127513440).

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

48120480 is a wasteful number, since it uses less digits than its factorization.

48120480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 136 counting only the distinct ones).

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

The square root of 48120480 is about 6936.8926761195. The cubic root of 48120480 is about 363.7279293655.

The spelling of 48120480 in words is "forty-eight million, one hundred twenty thousand, four hundred eighty".