233528400 has 240 divisors, whose sum is σ = 950236800. Its totient is φ = 53360640.

The previous prime is 233528389. The next prime is 233528401. The reversal of 233528400 is 4825332.

233528400 is a `hidden beast` number, since 233 + 5 + 28 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233528401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74056 + ... + 77144.

It is an arithmetic number, because the mean of its divisors is an integer number (3959320).

Almost surely, 2^233528400 is an apocalyptic number.

233528400 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 233528400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475118400).

233528400 is an abundant number, since it is smaller than the sum of its proper divisors (716708400).

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

233528400 is a wasteful number, since it uses less digits than its factorization.

233528400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3123 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 233528400 is about 15281.6360380687. The cubic root of 233528400 is about 615.8097602231.

The spelling of 233528400 in words is "two hundred thirty-three million, five hundred twenty-eight thousand, four hundred".