233480814 has 48 divisors (see below), whose sum is σ = 547169664. Its totient is φ = 65062080.

The previous prime is 233480813. The next prime is 233480831. The reversal of 233480814 is 418084332.

It is a super-2 number, since 2×233480814² = 109026581012205192, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233480813) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68949 + ... + 72255.

It is an arithmetic number, because the mean of its divisors is an integer number (11399368).

Almost surely, 2^233480814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233480814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273584832).

233480814 is an abundant number, since it is smaller than the sum of its proper divisors (313688850).

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

233480814 is a wasteful number, since it uses less digits than its factorization.

233480814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3401 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 233480814 is about 15280.0789919424. The cubic root of 233480814 is about 615.7679296022.

The spelling of 233480814 in words is "two hundred thirty-three million, four hundred eighty thousand, eight hundred fourteen".