480177 has 6 divisors (see below), whose sum is σ = 693602. Its totient is φ = 320112.

The previous prime is 480169. The next prime is 480203. The reversal of 480177 is 771084.

It can be written as a sum of positive squares in only one way, i.e., 467856 + 12321 = 684^2 + 111^2 .

It is not a de Polignac number, because 480177 - 2³ = 480169 is a prime.

It is a Duffinian number.

480177 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 480177.

It is not an unprimeable number, because it can be changed into a prime (480107) 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 5 ways as a sum of consecutive naturals, for example, 26668 + ... + 26685.

2⁴⁸⁰¹⁷⁷ is an apocalyptic number.

It is an amenable number.

480177 is a deficient number, since it is larger than the sum of its proper divisors (213425).

480177 is a wasteful number, since it uses less digits than its factorization.

480177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53359 (or 53356 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 480177 is about 692.9480500009. The cubic root of 480177 is about 78.3069756903.

The spelling of 480177 in words is "four hundred eighty thousand, one hundred seventy-seven".