233850240 has 320 divisors, whose sum is σ = 901953360. Its totient is φ = 57397248.

The previous prime is 233850209. The next prime is 233850251. The reversal of 233850240 is 42058332.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 673747 + ... + 674093.

Almost surely, 2^233850240 is an apocalyptic number.

233850240 is a gapful number since it is divisible by the number (20) 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 233850240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450976680).

233850240 is an abundant number, since it is smaller than the sum of its proper divisors (668103120).

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

233850240 is a wasteful number, since it uses less digits than its factorization.

233850240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 233850240 is about 15292.1626985852. The cubic root of 233850240 is about 616.0925255967.

The spelling of 233850240 in words is "two hundred thirty-three million, eight hundred fifty thousand, two hundred forty".