233396352 has 192 divisors, whose sum is σ = 777778560. Its totient is φ = 65802240.

The previous prime is 233396329. The next prime is 233396353. The reversal of 233396352 is 253693332.

233396352 is a `hidden beast` number, since 233 + 396 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233396353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 830452 + ... + 830732.

It is an arithmetic number, because the mean of its divisors is an integer number (4050930).

Almost surely, 2^233396352 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 233396352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388889280).

233396352 is an abundant number, since it is smaller than the sum of its proper divisors (544382208).

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

233396352 is a wasteful number, since it uses less digits than its factorization.

233396352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 396 counting only the distinct ones).

The product of its digits is 87480, while the sum is 36.

The square root of 233396352 is about 15277.3149473329. The cubic root of 233396352 is about 615.6936690199.

The spelling of 233396352 in words is "two hundred thirty-three million, three hundred ninety-six thousand, three hundred fifty-two".