480080640 has 288 divisors, whose sum is σ = 1689488640. Its totient is φ = 115458048.

The previous prime is 480080639. The next prime is 480080669. The reversal of 480080640 is 46080084.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 480080598 and 480080607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2945199 + ... + 2945361.

It is an arithmetic number, because the mean of its divisors is an integer number (5866280).

Almost surely, 2^480080640 is an apocalyptic number.

480080640 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 480080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844744320).

480080640 is an abundant number, since it is smaller than the sum of its proper divisors (1209408000).

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

480080640 is a wasteful number, since it uses less digits than its factorization.

480080640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 480080640 is about 21910.7425707117. The cubic root of 480080640 is about 783.0173722962.

The spelling of 480080640 in words is "four hundred eighty million, eighty thousand, six hundred forty".