487312 has 40 divisors (see below), whose sum is σ = 1140800. Its totient is φ = 196992.

The previous prime is 487307. The next prime is 487313. The reversal of 487312 is 213784.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (487313) by changing a digit.

487312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 2014 + ... + 2242.

It is an arithmetic number, because the mean of its divisors is an integer number (28520).

2⁴⁸⁷³¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 487312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570400).

487312 is an abundant number, since it is smaller than the sum of its proper divisors (653488).

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

487312 is a wasteful number, since it uses less digits than its factorization.

487312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

The product of its digits is 1344, while the sum is 25.

The square root of 487312 is about 698.0773596100. The cubic root of 487312 is about 78.6929274897.

The spelling of 487312 in words is "four hundred eighty-seven thousand, three hundred twelve".