403968 has 40 divisors (see below), whose sum is σ = 1080288. Its totient is φ = 134144.

The previous prime is 403957. The next prime is 403969. The reversal of 403968 is 869304.

403968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (403969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1405 + ... + 1667.

2⁴⁰³⁹⁶⁸ is an apocalyptic number.

403968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540144).

403968 is an abundant number, since it is smaller than the sum of its proper divisors (676320).

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

403968 is an equidigital number, since it uses as much as digits as its factorization.

403968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 403968 is about 635.5847701133. The cubic root of 403968 is about 73.9234660394.

It can be divided in two parts, 40396 and 8, that added together give a palindrome (40404).

The spelling of 403968 in words is "four hundred three thousand, nine hundred sixty-eight".