230126400 has 336 divisors, whose sum is σ = 959998080. Its totient is φ = 52531200.

The previous prime is 230126363. The next prime is 230126531. The reversal of 230126400 is 4621032.

It is a happy number.

230126400 is a `hidden beast` number, since 23 + 0 + 1 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 302020 + ... + 302780.

Almost surely, 2^230126400 is an apocalyptic number.

230126400 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 230126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479999040).

230126400 is an abundant number, since it is smaller than the sum of its proper divisors (729871680).

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

230126400 is a wasteful number, since it uses less digits than its factorization.

230126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 230126400 is about 15169.9176003036. The cubic root of 230126400 is about 612.8047851431.

Adding to 230126400 its reverse (4621032), we get a palindrome (234747432).

The spelling of 230126400 in words is "two hundred thirty million, one hundred twenty-six thousand, four hundred".