480555648 has 96 divisors (see below), whose sum is σ = 1392180660. Its totient is φ = 159105024.

The previous prime is 480555631. The next prime is 480555671. The reversal of 480555648 is 846555084.

480555648 is a `hidden beast` number, since 4 + 80 + 5 + 5 + 564 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 480135744 + 419904 = 21912^2 + 648^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179536 + ... + 182192.

Almost surely, 2^480555648 is an apocalyptic number.

480555648 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 480555648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696090330).

480555648 is an abundant number, since it is smaller than the sum of its proper divisors (911625012).

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

480555648 is a wasteful number, since it uses less digits than its factorization.

480555648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The square root of 480555648 is about 21921.5795051360. The cubic root of 480555648 is about 783.2755351148.

The spelling of 480555648 in words is "four hundred eighty million, five hundred fifty-five thousand, six hundred forty-eight".