230640400 has 60 divisors (see below), whose sum is σ = 560870352. Its totient is φ = 91131520.

The previous prime is 230640391. The next prime is 230640407. The reversal of 230640400 is 4046032.

230640400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×230640400² = 106389988224320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230640407) 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, 29727 + ... + 36673.

Almost surely, 2^230640400 is an apocalyptic number.

230640400 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 230640400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280435176).

230640400 is an abundant number, since it is smaller than the sum of its proper divisors (330229952).

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

230640400 is a wasteful number, since it uses less digits than its factorization.

230640400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7048 (or 7037 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 230640400 is about 15186.8495745497. The cubic root of 230640400 is about 613.2606903043.

Adding to 230640400 its reverse (4046032), we get a palindrome (234686432).

The spelling of 230640400 in words is "two hundred thirty million, six hundred forty thousand, four hundred".