480800096 has 48 divisors (see below), whose sum is σ = 1128847104. Its totient is φ = 197096064.

The previous prime is 480800081. The next prime is 480800129. The reversal of 480800096 is 690008084.

It is a super-3 number, since 3×480800096³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 41510 + ... + 51813.

It is an arithmetic number, because the mean of its divisors is an integer number (23517648).

Almost surely, 2^480800096 is an apocalyptic number.

480800096 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

480800096 is an abundant number, since it is smaller than the sum of its proper divisors (648047008).

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

480800096 is a wasteful number, since it uses less digits than its factorization.

480800096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93363 (or 93355 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 480800096 is about 21927.1543069319. The cubic root of 480800096 is about 783.4083242326.

The spelling of 480800096 in words is "four hundred eighty million, eight hundred thousand, ninety-six".