487368 has 48 divisors (see below), whose sum is σ = 1510080. Its totient is φ = 139104.

The previous prime is 487363. The next prime is 487381. The reversal of 487368 is 863784.

487368 = 2² + 3² + ... + 113².

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (487363) by changing a digit.

487368 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 11 ways as a sum of consecutive naturals, for example, 21 + ... + 987.

It is an arithmetic number, because the mean of its divisors is an integer number (31460).

2⁴⁸⁷³⁶⁸ 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 487368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755040).

487368 is an abundant number, since it is smaller than the sum of its proper divisors (1022712).

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

487368 is a wasteful number, since it uses less digits than its factorization.

487368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 979 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 487368 is about 698.1174686254. The cubic root of 487368 is about 78.6959417360.

The spelling of 487368 in words is "four hundred eighty-seven thousand, three hundred sixty-eight".