480345201 has 64 divisors (see below), whose sum is σ = 840499200. Its totient is φ = 265457088.

The previous prime is 480345199. The next prime is 480345209. The reversal of 480345201 is 102543084.

It is not a de Polignac number, because 480345201 - 2¹ = 480345199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (480345209) 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, 791040 + ... + 791646.

It is an arithmetic number, because the mean of its divisors is an integer number (13132800).

Almost surely, 2^480345201 is an apocalyptic number.

It is an amenable number.

480345201 is a deficient number, since it is larger than the sum of its proper divisors (360153999).

480345201 is a wasteful number, since it uses less digits than its factorization.

480345201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 480345201 is about 21916.7789832357. The cubic root of 480345201 is about 783.1611799544.

Adding to 480345201 its reverse (102543084), we get a palindrome (582888285).

It can be divided in two parts, 48034 and 5201, that added together give a palindrome (53235).

The spelling of 480345201 in words is "four hundred eighty million, three hundred forty-five thousand, two hundred one".