230415840 has 240 divisors, whose sum is σ = 849629088. Its totient is φ = 58696704.

The previous prime is 230415811. The next prime is 230415847. The reversal of 230415840 is 48514032.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230415847) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 297694 + ... + 298466.

Almost surely, 2^230415840 is an apocalyptic number.

230415840 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 230415840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424814544).

230415840 is an abundant number, since it is smaller than the sum of its proper divisors (619213248).

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

230415840 is a wasteful number, since it uses less digits than its factorization.

230415840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 230415840 is about 15179.4545356544. The cubic root of 230415840 is about 613.0615945992.

Adding to 230415840 its reverse (48514032), we get a palindrome (278929872).

The spelling of 230415840 in words is "two hundred thirty million, four hundred fifteen thousand, eight hundred forty".