233297280 has 256 divisors, whose sum is σ = 863654400. Its totient is φ = 59406336.

The previous prime is 233297279. The next prime is 233297287. The reversal of 233297280 is 82792332.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233297287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397147 + ... + 397733.

It is an arithmetic number, because the mean of its divisors is an integer number (3373650).

Almost surely, 2^233297280 is an apocalyptic number.

233297280 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 233297280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431827200).

233297280 is an abundant number, since it is smaller than the sum of its proper divisors (630357120).

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

233297280 is a wasteful number, since it uses less digits than its factorization.

233297280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 233297280 is about 15274.0721485791. The cubic root of 233297280 is about 615.6065402145.

The spelling of 233297280 in words is "two hundred thirty-three million, two hundred ninety-seven thousand, two hundred eighty".