230696400 has 120 divisors (see below), whose sum is σ = 806225184. Its totient is φ = 55923200.

The previous prime is 230696377. The next prime is 230696407. The reversal of 230696400 is 4696032.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230696407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4462 + ... + 21938.

Almost surely, 2^230696400 is an apocalyptic number.

230696400 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 230696400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403112592).

230696400 is an abundant number, since it is smaller than the sum of its proper divisors (575528784).

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

230696400 is a wasteful number, since it uses less digits than its factorization.

230696400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17509 (or 17498 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 230696400 is about 15188.6931630078. The cubic root of 230696400 is about 613.3103199725.

The spelling of 230696400 in words is "two hundred thirty million, six hundred ninety-six thousand, four hundred".