480000480 has 96 divisors (see below), whose sum is σ = 1527126048. Its totient is φ = 126720000.

The previous prime is 480000473. The next prime is 480000481. The reversal of 480000480 is 84000084.

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 480000480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480000481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43530 + ... + 53430.

It is an arithmetic number, because the mean of its divisors is an integer number (15907563).

Almost surely, 2^480000480 is an apocalyptic number.

480000480 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 480000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763563024).

480000480 is an abundant number, since it is smaller than the sum of its proper divisors (1047125568).

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

480000480 is a wasteful number, since it uses less digits than its factorization.

480000480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10020 (or 10012 counting only the distinct ones).

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

The square root of 480000480 is about 21908.9132546551. The cubic root of 480000480 is about 782.9737892249.

It can be divided in two parts, 4800004 and 80, that added together give a palindrome (4800084).

The spelling of 480000480 in words is "four hundred eighty million, four hundred eighty", and thus it is an aban number.