233882400 has 288 divisors, whose sum is σ = 839946240. Its totient is φ = 56263680.

The previous prime is 233882393. The next prime is 233882417. The reversal of 233882400 is 4288332.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1048689 + ... + 1048911.

It is an arithmetic number, because the mean of its divisors is an integer number (2916480).

Almost surely, 2^233882400 is an apocalyptic number.

233882400 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 233882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419973120).

233882400 is an abundant number, since it is smaller than the sum of its proper divisors (606063840).

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

233882400 is a wasteful number, since it uses less digits than its factorization.

233882400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 233882400 is about 15293.2141814597. The cubic root of 233882400 is about 616.1207667871.

The spelling of 233882400 in words is "two hundred thirty-three million, eight hundred eighty-two thousand, four hundred".