233946240 has 384 divisors, whose sum is σ = 879076800. Its totient is φ = 52715520.

The previous prime is 233946233. The next prime is 233946247. The reversal of 233946240 is 42649332.

233946240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (233946233) and next prime (233946247).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (233946247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4414054 + ... + 4414106.

Almost surely, 2^233946240 is an apocalyptic number.

233946240 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 233946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439538400).

233946240 is an abundant number, since it is smaller than the sum of its proper divisors (645130560).

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

233946240 is a wasteful number, since it uses less digits than its factorization.

233946240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 233946240 is about 15295.3012392695. The cubic root of 233946240 is about 616.1768199881.

The spelling of 233946240 in words is "two hundred thirty-three million, nine hundred forty-six thousand, two hundred forty".