229824576 has 168 divisors, whose sum is σ = 694423808. Its totient is φ = 72576000.

The previous prime is 229824571. The next prime is 229824587. The reversal of 229824576 is 675428922.

It is not an unprimeable number, because it can be changed into a prime (229824571) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1089111 + ... + 1089321.

Almost surely, 2^229824576 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 229824576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347211904).

229824576 is an abundant number, since it is smaller than the sum of its proper divisors (464599232).

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

229824576 is a wasteful number, since it uses less digits than its factorization.

229824576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 308 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 229824576 is about 15159.9662268753. The cubic root of 229824576 is about 612.5367583659.

Subtracting from 229824576 its product of digits (483840), we obtain a square (229340736 = 15144²).

It can be divided in two parts, 229824 and 576, that added together give a square (230400 = 480²).

The spelling of 229824576 in words is "two hundred twenty-nine million, eight hundred twenty-four thousand, five hundred seventy-six".