480784992 has 48 divisors (see below), whose sum is σ = 1269399600. Its totient is φ = 159329792.

The previous prime is 480784991. The next prime is 480784999. The reversal of 480784992 is 299487084.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×480784992³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480784991) 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, 2134 + ... + 31082.

It is an arithmetic number, because the mean of its divisors is an integer number (26445825).

Almost surely, 2^480784992 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 480784992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634699800).

480784992 is an abundant number, since it is smaller than the sum of its proper divisors (788614608).

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

480784992 is a wasteful number, since it uses less digits than its factorization.

480784992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29135 (or 29127 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 480784992 is about 21926.8098910899. The cubic root of 480784992 is about 783.4001207378.

The spelling of 480784992 in words is "four hundred eighty million, seven hundred eighty-four thousand, nine hundred ninety-two".