480280368 has 80 divisors (see below), whose sum is σ = 1297104480. Its totient is φ = 152936448.

The previous prime is 480280349. The next prime is 480280369. The reversal of 480280368 is 863082084.

It is not an unprimeable number, because it can be changed into a prime (480280369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133246 + ... + 136802.

It is an arithmetic number, because the mean of its divisors is an integer number (16213806).

Almost surely, 2^480280368 is an apocalyptic number.

480280368 is a gapful number since it is divisible by the number (48) 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 480280368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648552240).

480280368 is an abundant number, since it is smaller than the sum of its proper divisors (816824112).

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

480280368 is a wasteful number, since it uses less digits than its factorization.

480280368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3694 (or 3688 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 480280368 is about 21915.2998610560. The cubic root of 480280368 is about 783.1259435083.

The spelling of 480280368 in words is "four hundred eighty million, two hundred eighty thousand, three hundred sixty-eight".