233900640 has 288 divisors, whose sum is σ = 858574080. Its totient is φ = 57811968.

The previous prime is 233900627. The next prime is 233900677. The reversal of 233900640 is 46009332.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2270829 + ... + 2270931.

It is an arithmetic number, because the mean of its divisors is an integer number (2981160).

Almost surely, 2^233900640 is an apocalyptic number.

233900640 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 233900640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429287040).

233900640 is an abundant number, since it is smaller than the sum of its proper divisors (624673440).

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

233900640 is a wasteful number, since it uses less digits than its factorization.

233900640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 233900640 is about 15293.8105127532. The cubic root of 233900640 is about 616.1367830281.

Adding to 233900640 its reverse (46009332), we get a palindrome (279909972).

The spelling of 233900640 in words is "two hundred thirty-three million, nine hundred thousand, six hundred forty".