480318720 has 288 divisors, whose sum is σ = 1780144128. Its totient is φ = 108109824.

The previous prime is 480318703. The next prime is 480318739. The reversal of 480318720 is 27813084.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2876077 + ... + 2876243.

It is an arithmetic number, because the mean of its divisors is an integer number (6181056).

Almost surely, 2^480318720 is an apocalyptic number.

480318720 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 480318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890072064).

480318720 is an abundant number, since it is smaller than the sum of its proper divisors (1299825408).

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

480318720 is a wasteful number, since it uses less digits than its factorization.

480318720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 480318720 is about 21916.1748487276. The cubic root of 480318720 is about 783.1467880322.

The spelling of 480318720 in words is "four hundred eighty million, three hundred eighteen thousand, seven hundred twenty".