480345 has 16 divisors (see below), whose sum is σ = 794112. Its totient is φ = 247680.

The previous prime is 480343. The next prime is 480349. The reversal of 480345 is 543084.

It is a happy number.

It is not a de Polignac number, because 480345 - 2¹ = 480343 is a prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480345.

It is not an unprimeable number, because it can be changed into a prime (480341) 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, 52 + ... + 981.

It is an arithmetic number, because the mean of its divisors is an integer number (49632).

2⁴⁸⁰³⁴⁵ is an apocalyptic number.

It is an amenable number.

480345 is a deficient number, since it is larger than the sum of its proper divisors (313767).

480345 is a wasteful number, since it uses less digits than its factorization.

480345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 480345 is about 693.0692606082. The cubic root of 480345 is about 78.3161070717.

It can be divided in two parts, 480 and 345, that multiplied together give a triangular number (165600 = T₅₇₅).

The spelling of 480345 in words is "four hundred eighty thousand, three hundred forty-five".