480711 has 16 divisors (see below), whose sum is σ = 799488. Its totient is φ = 249600.

The previous prime is 480707. The next prime is 480713. The reversal of 480711 is 117084.

It is not a de Polignac number, because 480711 - 2² = 480707 is a prime.

It is a super-3 number, since 3×480711³ = 333252514528996293, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 810 + ... + 1271.

It is an arithmetic number, because the mean of its divisors is an integer number (49968).

2⁴⁸⁰⁷¹¹ is an apocalyptic number.

480711 is a deficient number, since it is larger than the sum of its proper divisors (318777).

480711 is a wasteful number, since it uses less digits than its factorization.

480711 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102.

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 480711 is about 693.3332532051. Note that the first 3 decimals coincide. The cubic root of 480711 is about 78.3359930690.

Subtracting from 480711 its sum of digits (21), we obtain a triangular number (480690 = T₉₈₀).

Adding to 480711 its reverse (117084), we get a palindrome (597795).

The spelling of 480711 in words is "four hundred eighty thousand, seven hundred eleven".