480784 has 20 divisors (see below), whose sum is σ = 942400. Its totient is φ = 237600.

The previous prime is 480773. The next prime is 480787. The reversal of 480784 is 487084.

It is a super-3 number, since 3×480784³ = 333404359159590912, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480787) by changing a digit.

480784 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2317 + ... + 2515.

It is an arithmetic number, because the mean of its divisors is an integer number (47120).

2⁴⁸⁰⁷⁸⁴ is an apocalyptic number.

It is an amenable number.

480784 is a deficient number, since it is larger than the sum of its proper divisors (461616).

480784 is a wasteful number, since it uses less digits than its factorization.

480784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 480784 is about 693.3858954435. The cubic root of 480784 is about 78.3399581943.

The spelling of 480784 in words is "four hundred eighty thousand, seven hundred eighty-four".