460288 has 40 divisors (see below), whose sum is σ = 982080. Its totient is φ = 215040.

The previous prime is 460267. The next prime is 460289. The reversal of 460288 is 882064.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14833 + ... + 14863.

It is an arithmetic number, because the mean of its divisors is an integer number (24552).

2⁴⁶⁰²⁸⁸ 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 460288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491040).

460288 is an abundant number, since it is smaller than the sum of its proper divisors (521792).

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

460288 is an equidigital number, since it uses as much as digits as its factorization.

460288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 460288 is about 678.4452815077. The cubic root of 460288 is about 77.2105330738.

The spelling of 460288 in words is "four hundred sixty thousand, two hundred eighty-eight".