230451444 has 54 divisors (see below), whose sum is σ = 609008946. Its totient is φ = 73471200.

The previous prime is 230451443. The next prime is 230451449. The reversal of 230451444 is 444154032.

It is a happy number.

230451444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 230432400 + 19044 = 15180^2 + 138^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230451443) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12994 + ... + 25094.

Almost surely, 2^230451444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230451444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304504473).

230451444 is an abundant number, since it is smaller than the sum of its proper divisors (378557502).

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

230451444 is a wasteful number, since it uses less digits than its factorization.

230451444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12157 (or 12129 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 230451444 is about 15180.6272597676. The cubic root of 230451444 is about 613.0931698601.

The spelling of 230451444 in words is "two hundred thirty million, four hundred fifty-one thousand, four hundred forty-four".