230655600 has 420 divisors, whose sum is σ = 957940176. Its totient is φ = 52254720.

The previous prime is 230655599. The next prime is 230655617. The reversal of 230655600 is 6556032.

230655600 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 55 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

It is a super-2 number, since 2×230655600² = 106404011622720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2041144 + ... + 2041256.

Almost surely, 2^230655600 is an apocalyptic number.

230655600 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 230655600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478970088).

230655600 is an abundant number, since it is smaller than the sum of its proper divisors (727284576).

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

230655600 is a wasteful number, since it uses less digits than its factorization.

230655600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 230655600 is about 15187.3499992593. The cubic root of 230655600 is about 613.2741620085.

The spelling of 230655600 in words is "two hundred thirty million, six hundred fifty-five thousand, six hundred".