480120064 has 72 divisors (see below), whose sum is σ = 1000742400. Its totient is φ = 229632000.

The previous prime is 480120061. The next prime is 480120089. The reversal of 480120064 is 460021084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480120061) 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 7 ways as a sum of consecutive naturals, for example, 801237 + ... + 801835.

It is an arithmetic number, because the mean of its divisors is an integer number (13899200).

Almost surely, 2^480120064 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 480120064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500371200).

480120064 is an abundant number, since it is smaller than the sum of its proper divisors (520622336).

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

480120064 is a wasteful number, since it uses less digits than its factorization.

480120064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 480120064 is about 21911.6422022632. The cubic root of 480120064 is about 783.0388053843.

The spelling of 480120064 in words is "four hundred eighty million, one hundred twenty thousand, sixty-four".