230322400 has 144 divisors (see below), whose sum is σ = 701205120. Its totient is φ = 71769600.

The previous prime is 230322383. The next prime is 230322413. The reversal of 230322400 is 4223032.

230322400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59731 + ... + 63469.

It is an arithmetic number, because the mean of its divisors is an integer number (4869480).

Almost surely, 2^230322400 is an apocalyptic number.

230322400 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 230322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350602560).

230322400 is an abundant number, since it is smaller than the sum of its proper divisors (470882720).

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

230322400 is a wasteful number, since it uses less digits than its factorization.

230322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3777 (or 3764 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 230322400 is about 15176.3763790966. The cubic root of 230322400 is about 612.9787122466.

Adding to 230322400 its reverse (4223032), we get a palindrome (234545432).

The spelling of 230322400 in words is "two hundred thirty million, three hundred twenty-two thousand, four hundred".