468608 has 32 divisors (see below), whose sum is σ = 1068960. Its totient is φ = 200448.

The previous prime is 468599. The next prime is 468613. The reversal of 468608 is 806864.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

468608 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 635 + ... + 1157.

It is an arithmetic number, because the mean of its divisors is an integer number (33405).

2⁴⁶⁸⁶⁰⁸ 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 468608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534480).

468608 is an abundant number, since it is smaller than the sum of its proper divisors (600352).

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

468608 is an equidigital number, since it uses as much as digits as its factorization.

468608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 468608 is about 684.5494868890. The cubic root of 468608 is about 77.6729678208.

The spelling of 468608 in words is "four hundred sixty-eight thousand, six hundred eight".