230329440 has 384 divisors, whose sum is σ = 910103040. Its totient is φ = 53913600.

The previous prime is 230329427. The next prime is 230329441. The reversal of 230329440 is 44923032.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (230329441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1758175 + ... + 1758305.

It is an arithmetic number, because the mean of its divisors is an integer number (2370060).

Almost surely, 2^230329440 is an apocalyptic number.

230329440 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 230329440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455051520).

230329440 is an abundant number, since it is smaller than the sum of its proper divisors (679773600).

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

230329440 is a wasteful number, since it uses less digits than its factorization.

230329440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 230329440 is about 15176.6083167485. The cubic root of 230329440 is about 612.9849575882.

The spelling of 230329440 in words is "two hundred thirty million, three hundred twenty-nine thousand, four hundred forty".