480680064 has 96 divisors (see below), whose sum is σ = 1417082940. Its totient is φ = 156303360.

The previous prime is 480680029. The next prime is 480680089. The reversal of 480680064 is 460086084.

It can be written as a sum of positive squares in 2 ways, for example, as 461390400 + 19289664 = 21480^2 + 4392^2 .

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

It is a super-3 number, since 3×480680064³ (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 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, 42144 + ... + 52320.

Almost surely, 2^480680064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480680064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708541470).

480680064 is an abundant number, since it is smaller than the sum of its proper divisors (936402876).

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

480680064 is a wasteful number, since it uses less digits than its factorization.

480680064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10238 (or 10223 counting only the distinct ones).

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

The square root of 480680064 is about 21924.4170732086. The cubic root of 480680064 is about 783.3431260382.

The spelling of 480680064 in words is "four hundred eighty million, six hundred eighty thousand, sixty-four".