480757 has 4 divisors (see below), whose sum is σ = 506080. Its totient is φ = 455436.

The previous prime is 480749. The next prime is 480761. The reversal of 480757 is 757084.

It is a happy number.

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 480757 - 2³ = 480749 is a prime.

It is a super-3 number, since 3×480757³ = 333348192073074279, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12633 + ... + 12670.

It is an arithmetic number, because the mean of its divisors is an integer number (126520).

2⁴⁸⁰⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

480757 is a deficient number, since it is larger than the sum of its proper divisors (25323).

480757 is a wasteful number, since it uses less digits than its factorization.

480757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25322.

The product of its (nonzero) digits is 7840, while the sum is 31.

The square root of 480757 is about 693.3664254923. The cubic root of 480757 is about 78.3384916879.

The spelling of 480757 in words is "four hundred eighty thousand, seven hundred fifty-seven".