480928000 has 288 divisors, whose sum is σ = 1454019840. Its totient is φ = 154828800.

The previous prime is 480927973. The next prime is 480928003. The reversal of 480928000 is 829084.

It is a super-3 number, since 3×480928000³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480928003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4255944 + ... + 4256056.

It is an arithmetic number, because the mean of its divisors is an integer number (5048680).

Almost surely, 2^480928000 is an apocalyptic number.

480928000 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 480928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727009920).

480928000 is an abundant number, since it is smaller than the sum of its proper divisors (973091840).

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

480928000 is a wasteful number, since it uses less digits than its factorization.

480928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 480928000 is about 21930.0706793207. The cubic root of 480928000 is about 783.4777863473.

The spelling of 480928000 in words is "four hundred eighty million, nine hundred twenty-eight thousand".