230163840 has 192 divisors, whose sum is σ = 821059200. Its totient is φ = 59351040.

The previous prime is 230163839. The next prime is 230163847. The reversal of 230163840 is 48361032.

It is a happy number.

230163840 is a `hidden beast` number, since 23 + 0 + 1 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×230163840³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230163847) 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, 177916 + ... + 179204.

It is an arithmetic number, because the mean of its divisors is an integer number (4276350).

Almost surely, 2^230163840 is an apocalyptic number.

230163840 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 230163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410529600).

230163840 is an abundant number, since it is smaller than the sum of its proper divisors (590895360).

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

230163840 is a wasteful number, since it uses less digits than its factorization.

230163840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 230163840 is about 15171.1515713211. The cubic root of 230163840 is about 612.8380163978.

The spelling of 230163840 in words is "two hundred thirty million, one hundred sixty-three thousand, eight hundred forty".