480064 has 28 divisors (see below), whose sum is σ = 1027684. Its totient is φ = 221184.

The previous prime is 480061. The next prime is 480071. The reversal of 480064 is 460084.

480064 = T₁₃₇ + T₁₃₈ + ... + T₁₇₅.

It can be written as a sum of positive squares in 2 ways, for example, as 313600 + 166464 = 560^2 + 408^2 .

It is a super-2 number, since 2×480064² = 460922888192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 544 + ... + 1120.

It is an arithmetic number, because the mean of its divisors is an integer number (36703).

2⁴⁸⁰⁰⁶⁴ 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 480064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513842).

480064 is an abundant number, since it is smaller than the sum of its proper divisors (547620).

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

480064 is a wasteful number, since it uses less digits than its factorization.

480064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 480064 is about 692.8665095096. The cubic root of 480064 is about 78.3008325511.

The spelling of 480064 in words is "four hundred eighty thousand, sixty-four".