230614400 has 96 divisors (see below), whose sum is σ = 599831400. Its totient is φ = 87367680.

The previous prime is 230614393. The next prime is 230614403. The reversal of 230614400 is 4416032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230614403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58904 + ... + 62696.

Almost surely, 2^230614400 is an apocalyptic number.

230614400 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 230614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299915700).

230614400 is an abundant number, since it is smaller than the sum of its proper divisors (369217000).

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

230614400 is a wasteful number, since it uses less digits than its factorization.

230614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3836 (or 3819 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 230614400 is about 15185.9935466864. The cubic root of 230614400 is about 613.2376452276.

The spelling of 230614400 in words is "two hundred thirty million, six hundred fourteen thousand, four hundred".