233849280 has 448 divisors, whose sum is σ = 948049920. Its totient is φ = 47579136.

The previous prime is 233849267. The next prime is 233849293. The reversal of 233849280 is 82948332.

It is an interprime number because it is at equal distance from previous prime (233849267) and next prime (233849293).

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2627476 + ... + 2627564.

Almost surely, 2^233849280 is an apocalyptic number.

233849280 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 233849280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474024960).

233849280 is an abundant number, since it is smaller than the sum of its proper divisors (714200640).

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

233849280 is a wasteful number, since it uses less digits than its factorization.

233849280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 233849280 is about 15292.1313099254. The cubic root of 233849280 is about 616.0916825363.

The spelling of 233849280 in words is "two hundred thirty-three million, eight hundred forty-nine thousand, two hundred eighty".