229923408 has 320 divisors, whose sum is σ = 769950720. Its totient is φ = 58060800.

The previous prime is 229923403. The next prime is 229923437. The reversal of 229923408 is 804329922.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229923403) 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 63 ways as a sum of consecutive naturals, for example, 5347035 + ... + 5347077.

It is an arithmetic number, because the mean of its divisors is an integer number (2406096).

Almost surely, 2^229923408 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 229923408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384975360).

229923408 is an abundant number, since it is smaller than the sum of its proper divisors (540027312).

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

229923408 is a wasteful number, since it uses less digits than its factorization.

229923408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 229923408 is about 15163.2255143818. The cubic root of 229923408 is about 612.6245493211.

The spelling of 229923408 in words is "two hundred twenty-nine million, nine hundred twenty-three thousand, four hundred eight".