480132 has 18 divisors (see below), whose sum is σ = 1213758. Its totient is φ = 160032.

The previous prime is 480113. The next prime is 480133. The reversal of 480132 is 231084.

It is a happy number.

480132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 367236 + 112896 = 606^2 + 336^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

480132 is a modest number, since divided by 132 gives 48 as remainder.

It is not an unprimeable number, because it can be changed into a prime (480133) by changing a digit.

480132 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 5 ways as a sum of consecutive naturals, for example, 6633 + ... + 6704.

It is an arithmetic number, because the mean of its divisors is an integer number (67431).

2⁴⁸⁰¹³² is an apocalyptic number.

It is an amenable number.

480132 is an abundant number, since it is smaller than the sum of its proper divisors (733626).

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

480132 is a wasteful number, since it uses less digits than its factorization.

480132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13347 (or 13342 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 480132 is about 692.9155792736. The cubic root of 480132 is about 78.3045294229.

The spelling of 480132 in words is "four hundred eighty thousand, one hundred thirty-two".