229845408 has 144 divisors (see below), whose sum is σ = 675876096. Its totient is φ = 68290560.

The previous prime is 229845401. The next prime is 229845419. The reversal of 229845408 is 804548922.

It is a self number, because there is not a number n which added to its sum of digits gives 229845408.

It is not an unprimeable number, because it can be changed into a prime (229845401) 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 23 ways as a sum of consecutive naturals, for example, 502716 + ... + 503172.

It is an arithmetic number, because the mean of its divisors is an integer number (4693584).

Almost surely, 2^229845408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229845408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337938048).

229845408 is an abundant number, since it is smaller than the sum of its proper divisors (446030688).

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

229845408 is a wasteful number, since it uses less digits than its factorization.

229845408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 229845408 is about 15160.6532840772. The cubic root of 229845408 is about 612.5552652063. Note that the first 3 decimals are identical.

The spelling of 229845408 in words is "two hundred twenty-nine million, eight hundred forty-five thousand, four hundred eight".