230272800 has 72 divisors (see below), whose sum is σ = 749545776. Its totient is φ = 61405440.

The previous prime is 230272781. The next prime is 230272807. The reversal of 230272800 is 8272032.

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

It is not an unprimeable number, because it can be changed into a prime (230272807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45574 + ... + 50373.

It is an arithmetic number, because the mean of its divisors is an integer number (10410358).

Almost surely, 2^230272800 is an apocalyptic number.

230272800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230272800 is an abundant number, since it is smaller than the sum of its proper divisors (519272976).

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

230272800 is a wasteful number, since it uses less digits than its factorization.

230272800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95970 (or 95957 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 230272800 is about 15174.7421724390. The cubic root of 230272800 is about 612.9347073693.

The spelling of 230272800 in words is "two hundred thirty million, two hundred seventy-two thousand, eight hundred".