468648 has 48 divisors (see below), whose sum is σ = 1329120. Its totient is φ = 148896.

The previous prime is 468647. The next prime is 468653. The reversal of 468648 is 846864.

468648 is a `hidden beast` number, since 4 + 6 + 8 + 648 = 666.

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 not an unprimeable number, because it can be changed into a prime (468641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1515 + ... + 1797.

It is an arithmetic number, because the mean of its divisors is an integer number (27690).

2⁴⁶⁸⁶⁴⁸ 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 468648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664560).

468648 is an abundant number, since it is smaller than the sum of its proper divisors (860472).

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

468648 is a wasteful number, since it uses less digits than its factorization.

468648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 311 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 468648 is about 684.5787025609. The cubic root of 468648 is about 77.6751777918.

The spelling of 468648 in words is "four hundred sixty-eight thousand, six hundred forty-eight".