230412240 has 120 divisors (see below), whose sum is σ = 814575840. Its totient is φ = 58205952.

The previous prime is 230412239. The next prime is 230412241. The reversal of 230412240 is 42214032.

230412240 is a `hidden beast` number, since 230 + 412 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (230412239) and next prime (230412241).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230412241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5259 + ... + 22101.

It is an arithmetic number, because the mean of its divisors is an integer number (6788132).

Almost surely, 2^230412240 is an apocalyptic number.

230412240 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 230412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407287920).

230412240 is an abundant number, since it is smaller than the sum of its proper divisors (584163600).

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

230412240 is a wasteful number, since it uses less digits than its factorization.

230412240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16881 (or 16872 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 230412240 is about 15179.3359538552. The cubic root of 230412240 is about 613.0584017729.

Adding to 230412240 its reverse (42214032), we get a palindrome (272626272).

It can be divided in two parts, 23041 and 2240, that added together give a square (25281 = 159²).

The spelling of 230412240 in words is "two hundred thirty million, four hundred twelve thousand, two hundred forty".