480709 has 4 divisors (see below), whose sum is σ = 509004. Its totient is φ = 452416.

The previous prime is 480707. The next prime is 480713. The reversal of 480709 is 907084.

480709 = 102² + 103² + ... + 135².

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 280900 + 199809 = 530^2 + 447^2 .

It is a cyclic number.

It is not a de Polignac number, because 480709 - 2¹ = 480707 is a prime.

It is a super-3 number, since 3×480709³ = 333248355051122487, 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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14122 + ... + 14155.

It is an arithmetic number, because the mean of its divisors is an integer number (127251).

2⁴⁸⁰⁷⁰⁹ is an apocalyptic number.

It is an amenable number.

480709 is a deficient number, since it is larger than the sum of its proper divisors (28295).

480709 is a wasteful number, since it uses less digits than its factorization.

480709 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28294.

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 480709 is about 693.3318108958. The cubic root of 480709 is about 78.3358844298.

The spelling of 480709 in words is "four hundred eighty thousand, seven hundred nine".