480053 has 12 divisors (see below), whose sum is σ = 569772. Its totient is φ = 403200.

The previous prime is 480049. The next prime is 480059. The reversal of 480053 is 350084.

It can be written as a sum of positive squares in 2 ways, for example, as 362404 + 117649 = 602^2 + 343^2 .

It is not a de Polignac number, because 480053 - 2² = 480049 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480059) 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 11 ways as a sum of consecutive naturals, for example, 4703 + ... + 4803.

It is an arithmetic number, because the mean of its divisors is an integer number (47481).

2⁴⁸⁰⁰⁵³ is an apocalyptic number.

It is an amenable number.

480053 is a deficient number, since it is larger than the sum of its proper divisors (89719).

480053 is a wasteful number, since it uses less digits than its factorization.

480053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 480053 is about 692.8585714271. The cubic root of 480053 is about 78.3002344949.

The spelling of 480053 in words is "four hundred eighty thousand, fifty-three".