480580128 has 240 divisors, whose sum is σ = 1636810560. Its totient is φ = 136048896.

The previous prime is 480580127. The next prime is 480580171. The reversal of 480580128 is 821085084.

480580128 is a `hidden beast` number, since 480 + 58 + 0 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 480580092 and 480580101.

It is not an unprimeable number, because it can be changed into a prime (480580127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4408938 + ... + 4409046.

It is an arithmetic number, because the mean of its divisors is an integer number (6820044).

Almost surely, 2^480580128 is an apocalyptic number.

480580128 is a gapful number since it is divisible by the number (48) 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 480580128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818405280).

480580128 is an abundant number, since it is smaller than the sum of its proper divisors (1156230432).

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

480580128 is an frugal number, since it uses more digits than its factorization.

480580128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 480580128 is about 21922.1378519523. The cubic root of 480580128 is about 783.2888351766.

The spelling of 480580128 in words is "four hundred eighty million, five hundred eighty thousand, one hundred twenty-eight".