233142444 has 108 divisors (see below), whose sum is σ = 637601328. Its totient is φ = 71691840.

The previous prime is 233142347. The next prime is 233142449. The reversal of 233142444 is 444241332.

It is a happy number.

233142444 is a `hidden beast` number, since 233 + 1 + 424 + 4 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (233142449) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 795562 + ... + 795854.

It is an arithmetic number, because the mean of its divisors is an integer number (5903716).

Almost surely, 2^233142444 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 233142444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318800664).

233142444 is an abundant number, since it is smaller than the sum of its proper divisors (404458884).

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

233142444 is a wasteful number, since it uses less digits than its factorization.

233142444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 352 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 233142444 is about 15269.0027179250. The cubic root of 233142444 is about 615.4703203822.

Adding to 233142444 its reverse (444241332), we get a palindrome (677383776).

It can be divided in two parts, 233142 and 444, that added together give a triangular number (233586 = T₆₈₃).

The spelling of 233142444 in words is "two hundred thirty-three million, one hundred forty-two thousand, four hundred forty-four".