233405472 has 96 divisors (see below), whose sum is σ = 656836992. Its totient is φ = 72382464.

The previous prime is 233405453. The next prime is 233405477. The reversal of 233405472 is 274504332.

233405472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×233405472² = 108956228719085568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (233405477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80268 + ... + 83124.

It is an arithmetic number, because the mean of its divisors is an integer number (6842052).

Almost surely, 2^233405472 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 233405472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328418496).

233405472 is an abundant number, since it is smaller than the sum of its proper divisors (423431520).

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

233405472 is a wasteful number, since it uses less digits than its factorization.

233405472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2930 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 233405472 is about 15277.6134261867. The cubic root of 233405472 is about 615.7016883585.

The spelling of 233405472 in words is "two hundred thirty-three million, four hundred five thousand, four hundred seventy-two".