230364640 has 144 divisors (see below), whose sum is σ = 610125264. Its totient is φ = 82114560.

The previous prime is 230364613. The next prime is 230364647. The reversal of 230364640 is 46463032.

It is a junction number, because it is equal to n+sod(n) for n = 230364599 and 230364608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230364647) 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, 1413199 + ... + 1413361.

It is an arithmetic number, because the mean of its divisors is an integer number (4236981).

Almost surely, 2^230364640 is an apocalyptic number.

230364640 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 230364640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305062632).

230364640 is an abundant number, since it is smaller than the sum of its proper divisors (379760624).

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

230364640 is a wasteful number, since it uses less digits than its factorization.

230364640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 230364640 is about 15177.7679518432. The cubic root of 230364640 is about 613.0161823872.

The spelling of 230364640 in words is "two hundred thirty million, three hundred sixty-four thousand, six hundred forty".