480405648 has 80 divisors (see below), whose sum is σ = 1288221120. Its totient is φ = 154086912.

The previous prime is 480405647. The next prime is 480405649. The reversal of 480405648 is 846504084.

It is an interprime number because it is at equal distance from previous prime (480405647) and next prime (480405649).

It is not an unprimeable number, because it can be changed into a prime (480405641) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 783390 + ... + 784002.

It is an arithmetic number, because the mean of its divisors is an integer number (16102764).

Almost surely, 2^480405648 is an apocalyptic number.

480405648 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 480405648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644110560).

480405648 is an abundant number, since it is smaller than the sum of its proper divisors (807815472).

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

480405648 is a wasteful number, since it uses less digits than its factorization.

480405648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 480405648 is about 21918.1579517988. The cubic root of 480405648 is about 783.1940297731.

The spelling of 480405648 in words is "four hundred eighty million, four hundred five thousand, six hundred forty-eight".