480160512 has 432 divisors, whose sum is σ = 1687428288. Its totient is φ = 129761280.

The previous prime is 480160501. The next prime is 480160517. The reversal of 480160512 is 215061084.

480160512 is a `hidden beast` number, since 48 + 0 + 1 + 605 + 12 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (480160517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11711212 + ... + 11711252.

It is an arithmetic number, because the mean of its divisors is an integer number (3906084).

Almost surely, 2^480160512 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 480160512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843714144).

480160512 is an abundant number, since it is smaller than the sum of its proper divisors (1207267776).

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

480160512 is a wasteful number, since it uses less digits than its factorization.

480160512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 480160512 is about 21912.5651624815. The cubic root of 480160512 is about 783.0607939566.

The spelling of 480160512 in words is "four hundred eighty million, one hundred sixty thousand, five hundred twelve".