48000480 has 96 divisors (see below), whose sum is σ = 164965248. Its totient is φ = 11635200.

The previous prime is 48000467. The next prime is 48000497. The reversal of 48000480 is 8400084.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 48000480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 735 + ... + 9825.

It is an arithmetic number, because the mean of its divisors is an integer number (1718388).

Almost surely, 2^48000480 is an apocalyptic number.

48000480 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 48000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82482624).

48000480 is an abundant number, since it is smaller than the sum of its proper divisors (116964768).

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

48000480 is a wasteful number, since it uses less digits than its factorization.

48000480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9120 (or 9112 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 48000480 is about 6928.2378712051. The cubic root of 48000480 is about 363.4253299761.

It can be divided in two parts, 480004 and 80, that added together give a palindrome (480084).

The spelling of 48000480 in words is "forty-eight million, four hundred eighty", and thus it is an aban number.