229408000 has 144 divisors (see below), whose sum is σ = 585434304. Its totient is φ = 89548800.

The previous prime is 229407991. The next prime is 229408001. The reversal of 229408000 is 804922.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229408001) 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 15 ways as a sum of consecutive naturals, for example, 2143947 + ... + 2144053.

It is an arithmetic number, because the mean of its divisors is an integer number (4065516).

Almost surely, 2^229408000 is an apocalyptic number.

229408000 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 229408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292717152).

229408000 is an abundant number, since it is smaller than the sum of its proper divisors (356026304).

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

229408000 is an equidigital number, since it uses as much as digits as its factorization.

229408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 229408000 is about 15146.2206507102. The cubic root of 229408000 is about 612.1664434013.

The spelling of 229408000 in words is "two hundred twenty-nine million, four hundred eight thousand".