230759280 has 200 divisors, whose sum is σ = 810216000. Its totient is φ = 60867072.

The previous prime is 230759267. The next prime is 230759281. The reversal of 230759280 is 82957032.

It is a happy number.

It is a super-2 number, since 2×230759280² = 106499690612236800, which contains 22 as substring.

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 (230759281) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 965401 + ... + 965639.

It is an arithmetic number, because the mean of its divisors is an integer number (4051080).

Almost surely, 2^230759280 is an apocalyptic number.

230759280 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 230759280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405108000).

230759280 is an abundant number, since it is smaller than the sum of its proper divisors (579456720).

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

230759280 is a wasteful number, since it uses less digits than its factorization.

230759280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 230759280 is about 15190.7629828129. The cubic root of 230759280 is about 613.3660374286.

The spelling of 230759280 in words is "two hundred thirty million, seven hundred fifty-nine thousand, two hundred eighty".