230042800 has 180 divisors, whose sum is σ = 620444664. Its totient is φ = 81868800.

The previous prime is 230042789. The next prime is 230042807. The reversal of 230042800 is 8240032.

It is a happy number.

230042800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (230042807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2771559 + ... + 2771641.

Almost surely, 2^230042800 is an apocalyptic number.

230042800 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 230042800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310222332).

230042800 is an abundant number, since it is smaller than the sum of its proper divisors (390401864).

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

230042800 is a wasteful number, since it uses less digits than its factorization.

230042800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 230042800 is about 15167.1618966766. The cubic root of 230042800 is about 612.7305698641.

Adding to 230042800 its reverse (8240032), we get a palindrome (238282832).

The spelling of 230042800 in words is "two hundred thirty million, forty-two thousand, eight hundred".