233384448 has 160 divisors (see below), whose sum is σ = 714954240. Its totient is φ = 66908160.

The previous prime is 233384413. The next prime is 233384453. The reversal of 233384448 is 844483332.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320661 + ... + 321387.

It is an arithmetic number, because the mean of its divisors is an integer number (4468464).

Almost surely, 2^233384448 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 233384448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357477120).

233384448 is an abundant number, since it is smaller than the sum of its proper divisors (481569792).

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

233384448 is a wasteful number, since it uses less digits than its factorization.

233384448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 762 counting only the distinct ones).

The product of its digits is 221184, while the sum is 39.

The square root of 233384448 is about 15276.9253451079. The cubic root of 233384448 is about 615.6832013584.

The spelling of 233384448 in words is "two hundred thirty-three million, three hundred eighty-four thousand, four hundred forty-eight".