230760240 has 80 divisors (see below), whose sum is σ = 717141600. Its totient is φ = 61382656.

The previous prime is 230760217. The next prime is 230760247. The reversal of 230760240 is 42067032.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 230760240.

It is not an unprimeable number, because it can be changed into a prime (230760247) 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 15 ways as a sum of consecutive naturals, for example, 121216 + ... + 123104.

It is an arithmetic number, because the mean of its divisors is an integer number (8964270).

Almost surely, 2^230760240 is an apocalyptic number.

230760240 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 230760240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358570800).

230760240 is an abundant number, since it is smaller than the sum of its proper divisors (486381360).

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

230760240 is a wasteful number, since it uses less digits than its factorization.

230760240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 230760240 is about 15190.7945809296. The cubic root of 230760240 is about 613.3668879983.

The spelling of 230760240 in words is "two hundred thirty million, seven hundred sixty thousand, two hundred forty".