230400000000 has 459 divisors, whose sum is σ = 831993226363. Its totient is φ = 61440000000.

The previous prime is 230399999993. The next prime is 230400000031. The reversal of 230400000000 is 4032.

The square root of 230400000000 is 480000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 163811229696 + 66588770304 = 404736^2 + 258048^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46079999998 + ... + 46080000002.

Almost surely, 2^230400000000 is an apocalyptic number.

230400000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

230400000000 is the 480000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230400000000

230400000000 is an abundant number, since it is smaller than the sum of its proper divisors (601593226363).

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

230400000000 is an frugal number, since it uses more digits than its factorization.

230400000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

Adding to 230400000000 its reverse (4032), we get a palindrome (230400004032).

The spelling of 230400000000 in words is "two hundred thirty billion, four hundred million", and thus it is an aban number.