230438400 has 240 divisors, whose sum is σ = 808300944. Its totient is φ = 57671680.

The previous prime is 230438389. The next prime is 230438413. The reversal of 230438400 is 4834032.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 652624 + ... + 652976.

Almost surely, 2^230438400 is an apocalyptic number.

230438400 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 230438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404150472).

230438400 is an abundant number, since it is smaller than the sum of its proper divisors (577862544).

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

230438400 is a wasteful number, since it uses less digits than its factorization.

230438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 230438400 is about 15180.1976271721. The cubic root of 230438400 is about 613.0816022199.

It can be divided in two parts, 2304 and 38400, that added together give a palindrome (40704).

The spelling of 230438400 in words is "two hundred thirty million, four hundred thirty-eight thousand, four hundred".