480169728 has 144 divisors (see below), whose sum is σ = 1433743360. Its totient is φ = 158505984.

The previous prime is 480169717. The next prime is 480169747. The reversal of 480169728 is 827961084.

480169728 is a `hidden beast` number, since 480 + 169 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 877551 + ... + 878097.

Almost surely, 2^480169728 is an apocalyptic number.

480169728 is a gapful number since it is divisible by the number (48) 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 480169728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716871680).

480169728 is an abundant number, since it is smaller than the sum of its proper divisors (953573632).

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

480169728 is a wasteful number, since it uses less digits than its factorization.

480169728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 480169728 is about 21912.7754517770. The cubic root of 480169728 is about 783.0658038383.

It can be divided in two parts, 4801 and 69728, that added together give a square (74529 = 273²).

The spelling of 480169728 in words is "four hundred eighty million, one hundred sixty-nine thousand, seven hundred twenty-eight".