233400 has 48 divisors (see below), whose sum is σ = 725400. Its totient is φ = 62080.

The previous prime is 233371. The next prime is 233407. The reversal of 233400 is 4332.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 406 + ... + 794.

2²³³⁴⁰⁰ is an apocalyptic number.

233400 is a gapful number since it is divisible by the number (20) 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 233400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362700).

233400 is an abundant number, since it is smaller than the sum of its proper divisors (492000).

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

233400 is a wasteful number, since it uses less digits than its factorization.

233400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 233400 is about 483.1148931672. The cubic root of 233400 is about 61.5696876780.

Adding to 233400 its reverse (4332), we get a palindrome (237732).

The spelling of 233400 in words is "two hundred thirty-three thousand, four hundred".