480728160 has 432 divisors, whose sum is σ = 1882258560. Its totient is φ = 111513600.

The previous prime is 480728137. The next prime is 480728167. The reversal of 480728160 is 61827084.

It is a super-3 number, since 3×480728160³ (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480728167) 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 71 ways as a sum of consecutive naturals, for example, 5401396 + ... + 5401484.

It is an arithmetic number, because the mean of its divisors is an integer number (4357080).

Almost surely, 2^480728160 is an apocalyptic number.

480728160 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 480728160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941129280).

480728160 is an abundant number, since it is smaller than the sum of its proper divisors (1401530400).

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

480728160 is a wasteful number, since it uses less digits than its factorization.

480728160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 480728160 is about 21925.5139050377. The cubic root of 480728160 is about 783.3692518111.

The spelling of 480728160 in words is "four hundred eighty million, seven hundred twenty-eight thousand, one hundred sixty".