480710 has 16 divisors (see below), whose sum is σ = 882576. Its totient is φ = 188448.

The previous prime is 480707. The next prime is 480713. The reversal of 480710 is 17084.

480710 = T₄₃₆ + T₄₃₇ + ... + T₄₄₀.

480710 = 68² + 69² + ... + 120².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (480707) and next prime (480713).

It is a super-3 number, since 3×480710³ = 333250434785733000, which contains 333 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480710.

It is not an unprimeable number, because it can be changed into a prime (480713) 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 7 ways as a sum of consecutive naturals, for example, 77 + ... + 983.

It is an arithmetic number, because the mean of its divisors is an integer number (55161).

2⁴⁸⁰⁷¹⁰ is an apocalyptic number.

480710 is a deficient number, since it is larger than the sum of its proper divisors (401866).

480710 is a wasteful number, since it uses less digits than its factorization.

480710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967.

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 480710 is about 693.3325320508. The cubic root of 480710 is about 78.3359387494.

Subtracting from 480710 its sum of digits (20), we obtain a triangular number (480690 = T₉₈₀).

Adding to 480710 its reverse (17084), we get a palindrome (497794).

The spelling of 480710 in words is "four hundred eighty thousand, seven hundred ten".