468006 has 32 divisors (see below), whose sum is σ = 1168128. Its totient is φ = 121440.

The previous prime is 468001. The next prime is 468011. The reversal of 468006 is 600864.

It is an interprime number because it is at equal distance from previous prime (468001) and next prime (468011).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45 + ... + 968.

It is an arithmetic number, because the mean of its divisors is an integer number (36504).

2⁴⁶⁸⁰⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584064).

468006 is an abundant number, since it is smaller than the sum of its proper divisors (700122).

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

468006 is a wasteful number, since it uses less digits than its factorization.

468006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 468006 is about 684.1096403355. The cubic root of 468006 is about 77.6396925573.

The spelling of 468006 in words is "four hundred sixty-eight thousand, six".