487305 has 72 divisors (see below), whose sum is σ = 1120392. Its totient is φ = 193536.

The previous prime is 487303. The next prime is 487307. The reversal of 487305 is 503784.

It is an interprime number because it is at equal distance from previous prime (487303) and next prime (487307).

It can be written as a sum of positive squares in 4 ways, for example, as 35721 + 451584 = 189^2 + 672^2 .

It is not a de Polignac number, because 487305 - 2¹ = 487303 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

487305 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487303) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28657 + ... + 28673.

It is an arithmetic number, because the mean of its divisors is an integer number (15561).

2⁴⁸⁷³⁰⁵ is an apocalyptic number.

487305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

487305 is an abundant number, since it is smaller than the sum of its proper divisors (633087).

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

487305 is a wasteful number, since it uses less digits than its factorization.

487305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 487305 is about 698.0723458210. The cubic root of 487305 is about 78.6925506927.

The spelling of 487305 in words is "four hundred eighty-seven thousand, three hundred five".