230746800 has 120 divisors (see below), whose sum is σ = 759282256. Its totient is φ = 59857920.

The previous prime is 230746793. The next prime is 230746807. The reversal of 230746800 is 8647032.

It is an interprime number because it is at equal distance from previous prime (230746793) and next prime (230746807).

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 (230746807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41802 + ... + 46998.

Almost surely, 2^230746800 is an apocalyptic number.

230746800 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 230746800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379641128).

230746800 is an abundant number, since it is smaller than the sum of its proper divisors (528535456).

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

230746800 is a wasteful number, since it uses less digits than its factorization.

230746800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5255 (or 5244 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 230746800 is about 15190.3522013151. The cubic root of 230746800 is about 613.3549798073.

The spelling of 230746800 in words is "two hundred thirty million, seven hundred forty-six thousand, eight hundred".