233430400 has 192 divisors, whose sum is σ = 698928480. Its totient is φ = 75202560.

The previous prime is 233430397. The next prime is 233430401. The reversal of 233430400 is 4034332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233430401) 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, 380494 + ... + 381106.

Almost surely, 2^233430400 is an apocalyptic number.

233430400 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 233430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349464240).

233430400 is an abundant number, since it is smaller than the sum of its proper divisors (465498080).

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

233430400 is a wasteful number, since it uses less digits than its factorization.

233430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 233430400 is about 15278.4292386358. The cubic root of 233430400 is about 615.7236068183.

Adding to 233430400 its reverse (4034332), we get a palindrome (237464732).

The spelling of 233430400 in words is "two hundred thirty-three million, four hundred thirty thousand, four hundred".