233348400 has 180 divisors, whose sum is σ = 825737328. Its totient is φ = 61002240.

The previous prime is 233348389. The next prime is 233348407. The reversal of 233348400 is 4843332.

233348400 is digitally balanced in base 2 and base 3, because in such bases 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 (180).

It is not an unprimeable number, because it can be changed into a prime (233348407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 190189 + ... + 191411.

Almost surely, 2^233348400 is an apocalyptic number.

233348400 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 233348400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412868664).

233348400 is an abundant number, since it is smaller than the sum of its proper divisors (592388928).

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

233348400 is a wasteful number, since it uses less digits than its factorization.

233348400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 233348400 is about 15275.7454809904. The cubic root of 233348400 is about 615.6515007445.

The spelling of 233348400 in words is "two hundred thirty-three million, three hundred forty-eight thousand, four hundred".