233006400 has 252 divisors, whose sum is σ = 904061184. Its totient is φ = 56448000.

The previous prime is 233006377. The next prime is 233006419. The reversal of 233006400 is 4600332.

233006400 is a `hidden beast` number, since 23 + 3 + 0 + 0 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 157665 + ... + 159135.

Almost surely, 2^233006400 is an apocalyptic number.

233006400 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 233006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452030592).

233006400 is an abundant number, since it is smaller than the sum of its proper divisors (671054784).

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

233006400 is a wasteful number, since it uses less digits than its factorization.

233006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 233006400 is about 15264.5471600045. The cubic root of 233006400 is about 615.3505833744.

Adding to 233006400 its reverse (4600332), we get a palindrome (237606732).

The spelling of 233006400 in words is "two hundred thirty-three million, six thousand, four hundred".