230265600 has 216 divisors, whose sum is σ = 775575360. Its totient is φ = 60149760.

The previous prime is 230265583. The next prime is 230265601. The reversal of 230265600 is 6562032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (230265601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1286311 + ... + 1286489.

Almost surely, 2^230265600 is an apocalyptic number.

230265600 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 230265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387787680).

230265600 is an abundant number, since it is smaller than the sum of its proper divisors (545309760).

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

230265600 is a wasteful number, since it uses less digits than its factorization.

230265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 230265600 is about 15174.5049342639. The cubic root of 230265600 is about 612.9283190393.

The spelling of 230265600 in words is "two hundred thirty million, two hundred sixty-five thousand, six hundred".