480408096 has 48 divisors (see below), whose sum is σ = 1441226304. Its totient is φ = 137259264.

The previous prime is 480408091. The next prime is 480408101. The reversal of 480408096 is 690804084.

It is an interprime number because it is at equal distance from previous prime (480408091) and next prime (480408101).

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

It is not an unprimeable number, because it can be changed into a prime (480408091) 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, 356775 + ... + 358118.

It is an arithmetic number, because the mean of its divisors is an integer number (30025548).

Almost surely, 2^480408096 is an apocalyptic number.

It is an amenable number.

480408096 is an abundant number, since it is smaller than the sum of its proper divisors (960818208).

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

480408096 is a wasteful number, since it uses less digits than its factorization.

480408096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714913 (or 714905 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 480408096 is about 21918.2137958366. The cubic root of 480408096 is about 783.1953600764.

The spelling of 480408096 in words is "four hundred eighty million, four hundred eight thousand, ninety-six".