403368 has 48 divisors (see below), whose sum is σ = 1176480. Its totient is φ = 115248.

The previous prime is 403363. The next prime is 403369. The reversal of 403368 is 863304.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 7 and base 14.

It is a zygodrome in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 403368.

It is not an unprimeable number, because it can be changed into a prime (403363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57621 + ... + 57627.

It is an arithmetic number, because the mean of its divisors is an integer number (24510).

2⁴⁰³³⁶⁸ 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 403368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588240).

403368 is an abundant number, since it is smaller than the sum of its proper divisors (773112).

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

403368 is an frugal number, since it uses more digits than its factorization.

403368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 403368 is about 635.1125884440. The cubic root of 403368 is about 73.8868492307.

403368 divided by its sum of digits (24) gives a 5-th power (16807 = 7⁵).

The spelling of 403368 in words is "four hundred three thousand, three hundred sixty-eight".