480459 has 16 divisors (see below), whose sum is σ = 741888. Its totient is φ = 270912.

The previous prime is 480451. The next prime is 480461. The reversal of 480459 is 954084.

480459 = T₃₆₇ + T₃₆₈ + ... + T₃₇₃.

It is not a de Polignac number, because 480459 - 2³ = 480451 is a prime.

It is not an unprimeable number, because it can be changed into a prime (480451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2794 + ... + 2960.

It is an arithmetic number, because the mean of its divisors is an integer number (46368).

2⁴⁸⁰⁴⁵⁹ is an apocalyptic number.

480459 is a deficient number, since it is larger than the sum of its proper divisors (261429).

480459 is a wasteful number, since it uses less digits than its factorization.

480459 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 480459 is about 693.1514985918. The cubic root of 480459 is about 78.3223021537.

It can be divided in two parts, 480 and 459, that added together give a palindrome (939).

The spelling of 480459 in words is "four hundred eighty thousand, four hundred fifty-nine".