480416 has 12 divisors (see below), whose sum is σ = 945882. Its totient is φ = 240192.

The previous prime is 480409. The next prime is 480419. The reversal of 480416 is 614084.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 364816 + 115600 = 604^2 + 340^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 480391 and 480400.

It is not an unprimeable number, because it can be changed into a prime (480419) by changing a digit.

480416 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 as a sum of consecutive naturals, namely, 7475 + ... + 7538.

2⁴⁸⁰⁴¹⁶ is an apocalyptic number.

It is an amenable number.

480416 is a deficient number, since it is larger than the sum of its proper divisors (465466).

480416 is a wasteful number, since it uses less digits than its factorization.

480416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15023 (or 15015 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 480416 is about 693.1204801476. The cubic root of 480416 is about 78.3199655273.

Adding to 480416 its product of nonzero digits (768), we get a palindrome (481184).

The spelling of 480416 in words is "four hundred eighty thousand, four hundred sixteen".