480217068 has 72 divisors (see below), whose sum is σ = 1236362400. Its totient is φ = 157130496.

The previous prime is 480217021. The next prime is 480217079. The reversal of 480217068 is 860712084.

480217068 is a `hidden beast` number, since 480 + 2 + 170 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 943198 + ... + 943706.

It is an arithmetic number, because the mean of its divisors is an integer number (17171700).

Almost surely, 2^480217068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480217068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618181200).

480217068 is an abundant number, since it is smaller than the sum of its proper divisors (756145332).

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

480217068 is a wasteful number, since it uses less digits than its factorization.

480217068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 480217068 is about 21913.8556169379. The cubic root of 480217068 is about 783.0915371813.

The spelling of 480217068 in words is "four hundred eighty million, two hundred seventeen thousand, sixty-eight".