468336 has 40 divisors (see below), whose sum is σ = 1321344. Its totient is φ = 141760.

The previous prime is 468323. The next prime is 468353. The reversal of 468336 is 633864.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

468336 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85 + ... + 971.

2⁴⁶⁸³³⁶ 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 468336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660672).

468336 is an abundant number, since it is smaller than the sum of its proper divisors (853008).

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

468336 is a wasteful number, since it uses less digits than its factorization.

468336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 903 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 468336 is about 684.3507872429. The cubic root of 468336 is about 77.6579366816.

The spelling of 468336 in words is "four hundred sixty-eight thousand, three hundred thirty-six".