233968392 has 128 divisors (see below), whose sum is σ = 746803200. Its totient is φ = 66484800.

The previous prime is 233968373. The next prime is 233968403. The reversal of 233968392 is 293869332.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

Its product of digits (419904) is a multiple of the sum of its prime factors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409467 + ... + 410037.

It is an arithmetic number, because the mean of its divisors is an integer number (5834400).

Almost surely, 2^233968392 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 233968392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373401600).

233968392 is an abundant number, since it is smaller than the sum of its proper divisors (512834808).

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

233968392 is a wasteful number, since it uses less digits than its factorization.

233968392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 854 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 233968392 is about 15296.0253660878. The cubic root of 233968392 is about 616.1962676443.

The spelling of 233968392 in words is "two hundred thirty-three million, nine hundred sixty-eight thousand, three hundred ninety-two".