229964364 has 72 divisors (see below), whose sum is σ = 669291168. Its totient is φ = 65214720.

The previous prime is 229964363. The next prime is 229964377. The reversal of 229964364 is 463469922.

229964364 is a `hidden beast` number, since 229 + 9 + 64 + 364 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (229964363) 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, 31194 + ... + 37854.

Almost surely, 2^229964364 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 229964364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334645584).

229964364 is an abundant number, since it is smaller than the sum of its proper divisors (439326804).

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

229964364 is a wasteful number, since it uses less digits than its factorization.

229964364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6815 (or 6810 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 229964364 is about 15164.5759584632. The cubic root of 229964364 is about 612.6609225372.

The spelling of 229964364 in words is "two hundred twenty-nine million, nine hundred sixty-four thousand, three hundred sixty-four".