460368 has 60 divisors (see below), whose sum is σ = 1354080. Its totient is φ = 145728.

The previous prime is 460349. The next prime is 460373. The reversal of 460368 is 863064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3243 + ... + 3381.

It is an arithmetic number, because the mean of its divisors is an integer number (22568).

2⁴⁶⁰³⁶⁸ is an apocalyptic number.

460368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677040).

460368 is an abundant number, since it is smaller than the sum of its proper divisors (893712).

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

460368 is a wasteful number, since it uses less digits than its factorization.

460368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 460368 is about 678.5042372749. The cubic root of 460368 is about 77.2150059870.

It can be divided in two parts, 460 and 368, that added together give a palindrome (828).

The spelling of 460368 in words is "four hundred sixty thousand, three hundred sixty-eight".