233408385 has 160 divisors (see below), whose sum is σ = 526901760. Its totient is φ = 96380928.

The previous prime is 233408381. The next prime is 233408389. The reversal of 233408385 is 583804332.

233408385 is a `hidden beast` number, since 233 + 40 + 8 + 385 = 666.

233408385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (233408381) and next prime (233408389).

It is not a de Polignac number, because 233408385 - 2² = 233408381 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233408381) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1397572 + ... + 1397738.

It is an arithmetic number, because the mean of its divisors is an integer number (3293136).

Almost surely, 2^233408385 is an apocalyptic number.

It is an amenable number.

233408385 is an abundant number, since it is smaller than the sum of its proper divisors (293493375).

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

233408385 is a wasteful number, since it uses less digits than its factorization.

233408385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 233408385 is about 15277.7087614603. The cubic root of 233408385 is about 615.7042497546.

The spelling of 233408385 in words is "two hundred thirty-three million, four hundred eight thousand, three hundred eighty-five".