480303720 has 192 divisors, whose sum is σ = 1780243920. Its totient is φ = 111255552.

The previous prime is 480303671. The next prime is 480303727. The reversal of 480303720 is 27303084.

480303720 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 111894084 + 368409636 = 10578^2 + 19194^2 .

It is not an unprimeable number, because it can be changed into a prime (480303727) 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 47 ways as a sum of consecutive naturals, for example, 76542 + ... + 82578.

Almost surely, 2^480303720 is an apocalyptic number.

480303720 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 480303720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890121960).

480303720 is an abundant number, since it is smaller than the sum of its proper divisors (1299940200).

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

480303720 is a wasteful number, since it uses less digits than its factorization.

480303720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6084 (or 6077 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 480303720 is about 21915.8326330532. The cubic root of 480303720 is about 783.1386355814.

The spelling of 480303720 in words is "four hundred eighty million, three hundred three thousand, seven hundred twenty".