233409132 has 72 divisors (see below), whose sum is σ = 645345792. Its totient is φ = 70543200.

The previous prime is 233409107. The next prime is 233409149. The reversal of 233409132 is 231904332.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 233409096 and 233409105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255757 + ... + 256667.

It is an arithmetic number, because the mean of its divisors is an integer number (8963136).

Almost surely, 2^233409132 is an apocalyptic number.

233409132 is a gapful number since it is divisible by the number (22) 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 233409132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322672896).

233409132 is an abundant number, since it is smaller than the sum of its proper divisors (411936660).

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

233409132 is a wasteful number, since it uses less digits than its factorization.

233409132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 233409132 is about 15277.7332088239. The cubic root of 233409132 is about 615.7049065870.

The spelling of 233409132 in words is "two hundred thirty-three million, four hundred nine thousand, one hundred thirty-two".