230257440 has 288 divisors, whose sum is σ = 917070336. Its totient is φ = 51517440.

The previous prime is 230257411. The next prime is 230257451. The reversal of 230257440 is 44752032.

230257440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 534025 + ... + 534455.

It is an arithmetic number, because the mean of its divisors is an integer number (3184272).

Almost surely, 2^230257440 is an apocalyptic number.

230257440 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 230257440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458535168).

230257440 is an abundant number, since it is smaller than the sum of its proper divisors (686812896).

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

230257440 is a wasteful number, since it uses less digits than its factorization.

230257440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 230257440 is about 15174.2360598483. The cubic root of 230257440 is about 612.9210787711.

The spelling of 230257440 in words is "two hundred thirty million, two hundred fifty-seven thousand, four hundred forty".