480664080 has 240 divisors, whose sum is σ = 1760981040. Its totient is φ = 116785152.

The previous prime is 480664073. The next prime is 480664081. The reversal of 480664080 is 80466084.

480664080 is a `hidden beast` number, since 4 + 8 + 0 + 6 + 640 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3154176 + 477509904 = 1776^2 + 21852^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×480664080³ (a number of 27 digits) contains 333 as substring.

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 (480664081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 832752 + ... + 833328.

It is an arithmetic number, because the mean of its divisors is an integer number (7337421).

Almost surely, 2^480664080 is an apocalyptic number.

480664080 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 480664080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880490520).

480664080 is an abundant number, since it is smaller than the sum of its proper divisors (1280316960).

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

480664080 is a wasteful number, since it uses less digits than its factorization.

480664080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 480664080 is about 21924.0525450930. The cubic root of 480664080 is about 783.3344431351.

It can be divided in two parts, 4806 and 64080, that added together give a palindrome (68886).

The spelling of 480664080 in words is "four hundred eighty million, six hundred sixty-four thousand, eighty".