480733728 has 24 divisors (see below), whose sum is σ = 1261926288. Its totient is φ = 160244544.

The previous prime is 480733727. The next prime is 480733739. The reversal of 480733728 is 827337084.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×480733728³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 480733728.

It is not an unprimeable number, because it can be changed into a prime (480733727) 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 3 ways as a sum of consecutive naturals, for example, 2503726 + ... + 2503917.

It is an arithmetic number, because the mean of its divisors is an integer number (52580262).

Almost surely, 2^480733728 is an apocalyptic number.

480733728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

480733728 is an abundant number, since it is smaller than the sum of its proper divisors (781192560).

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

480733728 is a wasteful number, since it uses less digits than its factorization.

480733728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5007656 (or 5007648 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 480733728 is about 21925.6408800290. The cubic root of 480733728 is about 783.3722762391.

The spelling of 480733728 in words is "four hundred eighty million, seven hundred thirty-three thousand, seven hundred twenty-eight".