233401400 has 96 divisors (see below), whose sum is σ = 561057840. Its totient is φ = 90255360.

The previous prime is 233401391. The next prime is 233401403. The reversal of 233401400 is 4104332.

233401400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233401403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1028087 + ... + 1028313.

Almost surely, 2^233401400 is an apocalyptic number.

233401400 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 233401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280528920).

233401400 is an abundant number, since it is smaller than the sum of its proper divisors (327656440).

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

233401400 is a wasteful number, since it uses less digits than its factorization.

233401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 233401400 is about 15277.4801587173. The cubic root of 233401400 is about 615.6981078200.

Adding to 233401400 its reverse (4104332), we get a palindrome (237505732).

The spelling of 233401400 in words is "two hundred thirty-three million, four hundred one thousand, four hundred".