480257 has 4 divisors (see below), whose sum is σ = 483120. Its totient is φ = 477396.

The previous prime is 480209. The next prime is 480287. The reversal of 480257 is 752084.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 480257 - 2¹⁴ = 463873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1163 + ... + 1520.

It is an arithmetic number, because the mean of its divisors is an integer number (120780).

It is a Proth number, since it is equal to 469 ⋅ 2¹⁰ + 1 and 469 < 2¹⁰.

2⁴⁸⁰²⁵⁷ is an apocalyptic number.

It is an amenable number.

480257 is a deficient number, since it is larger than the sum of its proper divisors (2863).

480257 is a wasteful number, since it uses less digits than its factorization.

480257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862.

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 480257 is about 693.0057719817. The cubic root of 480257 is about 78.3113242327.

It can be divided in two parts, 480 and 257, that added together give a palindrome (737).

The spelling of 480257 in words is "four hundred eighty thousand, two hundred fifty-seven".