233950080 has 384 divisors, whose sum is σ = 931806720. Its totient is φ = 48881664.

The previous prime is 233950063. The next prime is 233950091. The reversal of 233950080 is 80059332.

It is a happy number.

233950080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (30).

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, 2271309 + ... + 2271411.

It is an arithmetic number, because the mean of its divisors is an integer number (2426580).

Almost surely, 2^233950080 is an apocalyptic number.

233950080 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 233950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465903360).

233950080 is an abundant number, since it is smaller than the sum of its proper divisors (697856640).

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

233950080 is a wasteful number, since it uses less digits than its factorization.

233950080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 233950080 is about 15295.4267675015. The cubic root of 233950080 is about 616.1801912840.

The spelling of 233950080 in words is "two hundred thirty-three million, nine hundred fifty thousand, eighty".