230956000 has 192 divisors, whose sum is σ = 643930560. Its totient is φ = 80640000.

The previous prime is 230955953. The next prime is 230956007. The reversal of 230956000 is 659032.

230956000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230956007) 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 31 ways as a sum of consecutive naturals, for example, 1275910 + ... + 1276090.

It is an arithmetic number, because the mean of its divisors is an integer number (3353805).

Almost surely, 2^230956000 is an apocalyptic number.

230956000 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 230956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321965280).

230956000 is an abundant number, since it is smaller than the sum of its proper divisors (412974560).

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

230956000 is a wasteful number, since it uses less digits than its factorization.

230956000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 230956000 is about 15197.2365909069. The cubic root of 230956000 is about 613.5402840801.

The spelling of 230956000 in words is "two hundred thirty million, nine hundred fifty-six thousand".