233981280 has 288 divisors, whose sum is σ = 891596160. Its totient is φ = 55480320.

The previous prime is 233981263. The next prime is 233981291. The reversal of 233981280 is 82189332.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 542665 + ... + 543095.

It is an arithmetic number, because the mean of its divisors is an integer number (3095820).

Almost surely, 2^233981280 is an apocalyptic number.

233981280 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 233981280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445798080).

233981280 is an abundant number, since it is smaller than the sum of its proper divisors (657614880).

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

233981280 is a wasteful number, since it uses less digits than its factorization.

233981280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 233981280 is about 15296.4466461986. The cubic root of 233981280 is about 616.2075816963.

The spelling of 233981280 in words is "two hundred thirty-three million, nine hundred eighty-one thousand, two hundred eighty".