230266800 has 360 divisors, whose sum is σ = 873110784. Its totient is φ = 58164480.

The previous prime is 230266727. The next prime is 230266801. The reversal of 230266800 is 8662032.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (230266801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2235549 + ... + 2235651.

Almost surely, 2^230266800 is an apocalyptic number.

230266800 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 230266800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436555392).

230266800 is an abundant number, since it is smaller than the sum of its proper divisors (642843984).

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

230266800 is a wasteful number, since it uses less digits than its factorization.

230266800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 230266800 is about 15174.5444742173. The cubic root of 230266800 is about 612.9293837703.

The spelling of 230266800 in words is "two hundred thirty million, two hundred sixty-six thousand, eight hundred".