230833440 has 144 divisors (see below), whose sum is σ = 813286656. Its totient is φ = 59558400.

The previous prime is 230833439. The next prime is 230833441. The reversal of 230833440 is 44338032.

230833440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230833439) and next prime (230833441).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (230833441) 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, 42055 + ... + 47225.

It is an arithmetic number, because the mean of its divisors is an integer number (5647824).

Almost surely, 2^230833440 is an apocalyptic number.

230833440 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 230833440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406643328).

230833440 is an abundant number, since it is smaller than the sum of its proper divisors (582453216).

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

230833440 is a wasteful number, since it uses less digits than its factorization.

230833440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5223 (or 5212 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 230833440 is about 15193.2037437797. The cubic root of 230833440 is about 613.4317369942.

The spelling of 230833440 in words is "two hundred thirty million, eight hundred thirty-three thousand, four hundred forty".