230040400 has 60 divisors (see below), whose sum is σ = 555750144. Its totient is φ = 91504000.

The previous prime is 230040397. The next prime is 230040409. The reversal of 230040400 is 4040032.

230040400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230040409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74895 + ... + 77905.

Almost surely, 2^230040400 is an apocalyptic number.

230040400 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 230040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277875072).

230040400 is an abundant number, since it is smaller than the sum of its proper divisors (325709744).

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

230040400 is a wasteful number, since it uses less digits than its factorization.

230040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220 (or 3209 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 230040400 is about 15167.0827781746. The cubic root of 230040400 is about 612.7284390164.

Adding to 230040400 its reverse (4040032), we get a palindrome (234080432).

The spelling of 230040400 in words is "two hundred thirty million, forty thousand, four hundred".