480411648 has 160 divisors (see below), whose sum is σ = 1443211770. Its totient is φ = 159252480.

The previous prime is 480411643. The next prime is 480411667. The reversal of 480411648 is 846114084.

480411648 is a `hidden beast` number, since 4 + 8 + 0 + 4 + 1 + 1 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 479084544 + 1327104 = 21888^2 + 1152^2 .

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

It is not an unprimeable number, because it can be changed into a prime (480411643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2654118 + ... + 2654298.

Almost surely, 2^480411648 is an apocalyptic number.

480411648 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 480411648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721605885).

480411648 is an abundant number, since it is smaller than the sum of its proper divisors (962800122).

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

480411648 is an frugal number, since it uses more digits than its factorization.

480411648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 480411648 is about 21918.2948241874. The cubic root of 480411648 is about 783.1972903124.

The spelling of 480411648 in words is "four hundred eighty million, four hundred eleven thousand, six hundred forty-eight".