233525376 has 256 divisors, whose sum is σ = 807840000. Its totient is φ = 66382848.

The previous prime is 233525359. The next prime is 233525399. The reversal of 233525376 is 673525332.

233525376 is a `hidden beast` number, since 2 + 335 + 253 + 76 = 666.

233525376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 233525376.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1185310 + ... + 1185506.

It is an arithmetic number, because the mean of its divisors is an integer number (3155625).

Almost surely, 2^233525376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233525376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403920000).

233525376 is an abundant number, since it is smaller than the sum of its proper divisors (574314624).

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

233525376 is an equidigital number, since it uses as much as digits as its factorization.

233525376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 209 counting only the distinct ones).

The product of its digits is 113400, while the sum is 36.

The square root of 233525376 is about 15281.5370954626. The cubic root of 233525376 is about 615.8071021356.

The spelling of 233525376 in words is "two hundred thirty-three million, five hundred twenty-five thousand, three hundred seventy-six".