485577 has 12 divisors (see below), whose sum is σ = 707824. Its totient is φ = 320760.

The previous prime is 485567. The next prime is 485587. The reversal of 485577 is 775584.

485577 is a `hidden beast` number, since 4 + 85 + 577 = 666.

It is an interprime number because it is at equal distance from previous prime (485567) and next prime (485587).

It is not a de Polignac number, because 485577 - 2¹⁴ = 469193 is a prime.

It is a Duffinian number.

485577 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (485567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1302 + ... + 1632.

2⁴⁸⁵⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

485577 is a deficient number, since it is larger than the sum of its proper divisors (222247).

485577 is a wasteful number, since it uses less digits than its factorization.

485577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 497 counting only the distinct ones).

The product of its digits is 39200, while the sum is 36.

The square root of 485577 is about 696.8335525791. The cubic root of 485577 is about 78.5994250487.

It can be divided in two parts, 48 and 5577, that added together give a square (5625 = 75²).

The spelling of 485577 in words is "four hundred eighty-five thousand, five hundred seventy-seven".