468496 has 40 divisors (see below), whose sum is σ = 1071360. Its totient is φ = 194304.

The previous prime is 468493. The next prime is 468499. The reversal of 468496 is 694864.

It is an interprime number because it is at equal distance from previous prime (468493) and next prime (468499).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468491) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5220 + ... + 5308.

It is an arithmetic number, because the mean of its divisors is an integer number (26784).

2⁴⁶⁸⁴⁹⁶ 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 468496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535680).

468496 is an abundant number, since it is smaller than the sum of its proper divisors (602864).

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

468496 is a wasteful number, since it uses less digits than its factorization.

468496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 145 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 468496 is about 684.4676763734. The cubic root of 468496 is about 77.6667792328. Note that the first 3 decimals are identical.

The spelling of 468496 in words is "four hundred sixty-eight thousand, four hundred ninety-six".