229376448 has 336 divisors, whose sum is σ = 813612800. Its totient is φ = 64012032.

The previous prime is 229376437. The next prime is 229376449. The reversal of 229376448 is 844673922.

229376448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×229376448² = 105227109794193408, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229376449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5334315 + ... + 5334357.

Almost surely, 2^229376448 is an apocalyptic number.

229376448 is a gapful number since it is divisible by the number (28) 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 229376448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406806400).

229376448 is an abundant number, since it is smaller than the sum of its proper divisors (584236352).

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

229376448 is an frugal number, since it uses more digits than its factorization.

229376448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 55 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 229376448 is about 15145.1790349273. The cubic root of 229376448 is about 612.1383770142.

The spelling of 229376448 in words is "two hundred twenty-nine million, three hundred seventy-six thousand, four hundred forty-eight".