230486400 has 288 divisors, whose sum is σ = 843495120. Its totient is φ = 59904000.

The previous prime is 230486387. The next prime is 230486411. The reversal of 230486400 is 4684032.

230486400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1526325 + ... + 1526475.

Almost surely, 2^230486400 is an apocalyptic number.

230486400 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 230486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421747560).

230486400 is an abundant number, since it is smaller than the sum of its proper divisors (613008720).

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

230486400 is a wasteful number, since it uses less digits than its factorization.

230486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 230486400 is about 15181.7785519352. The cubic root of 230486400 is about 613.1241672812.

The spelling of 230486400 in words is "two hundred thirty million, four hundred eighty-six thousand, four hundred".