233408 has 28 divisors (see below), whose sum is σ = 530352. Its totient is φ = 99840.

The previous prime is 233407. The next prime is 233417. The reversal of 233408 is 804332.

233408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (28).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 233408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233407) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 188 + ... + 708.

2²³³⁴⁰⁸ is an apocalyptic number.

233408 is a gapful number since it is divisible by the number (28) 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 233408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265176).

233408 is an abundant number, since it is smaller than the sum of its proper divisors (296944).

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

233408 is an equidigital number, since it uses as much as digits as its factorization.

233408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 233408 is about 483.1231727003. The cubic root of 233408 is about 61.5703911226.

The spelling of 233408 in words is "two hundred thirty-three thousand, four hundred eight".