480800320 has 448 divisors, whose sum is σ = 1638604800. Its totient is φ = 129392640.

The previous prime is 480800293. The next prime is 480800323. The reversal of 480800320 is 23008084.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×480800320³ (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 (480800323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6086041 + ... + 6086119.

It is an arithmetic number, because the mean of its divisors is an integer number (3657600).

Almost surely, 2^480800320 is an apocalyptic number.

480800320 is a gapful number since it is divisible by the number (40) 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 480800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819302400).

480800320 is an abundant number, since it is smaller than the sum of its proper divisors (1157804480).

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

480800320 is a wasteful number, since it uses less digits than its factorization.

480800320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 480800320 is about 21927.1594147532. The cubic root of 480800320 is about 783.4084458933.

The spelling of 480800320 in words is "four hundred eighty million, eight hundred thousand, three hundred twenty".