480272 has 20 divisors (see below), whose sum is σ = 1002540. Its totient is φ = 221568.

The previous prime is 480209. The next prime is 480287. The reversal of 480272 is 272084.

It can be written as a sum of positive squares in 2 ways, for example, as 234256 + 246016 = 484^2 + 496^2 .

It is a super-2 number, since 2×480272² = 461322387968, which contains 22 as substring.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480272.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 947 + ... + 1362.

It is an arithmetic number, because the mean of its divisors is an integer number (50127).

2⁴⁸⁰²⁷² is an apocalyptic number.

It is an amenable number.

480272 is an abundant number, since it is smaller than the sum of its proper divisors (522268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480272 is a wasteful number, since it uses less digits than its factorization.

480272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 480272 is about 693.0165943179. The cubic root of 480272 is about 78.3121395307.

Subtracting from 480272 its sum of digits (23), we obtain a square (480249 = 693²).

It can be divided in two parts, 4802 and 72, that multiplied together give a square (345744 = 588²).

The spelling of 480272 in words is "four hundred eighty thousand, two hundred seventy-two".