233997984 has 240 divisors, whose sum is σ = 779375520. Its totient is φ = 68221440.

The previous prime is 233997983. The next prime is 233997997. The reversal of 233997984 is 489799332.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 233997984.

It is not an unprimeable number, because it can be changed into a prime (233997983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 826707 + ... + 826989.

It is an arithmetic number, because the mean of its divisors is an integer number (3247398).

Almost surely, 2^233997984 is an apocalyptic number.

233997984 is a gapful number since it is divisible by the number (24) 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 233997984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389687760).

233997984 is an abundant number, since it is smaller than the sum of its proper divisors (545377536).

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

233997984 is a wasteful number, since it uses less digits than its factorization.

233997984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 328 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 233997984 is about 15296.9926456150. The cubic root of 233997984 is about 616.2222451009. Note that the first 4 decimals are identical.

The spelling of 233997984 in words is "two hundred thirty-three million, nine hundred ninety-seven thousand, nine hundred eighty-four".