229840934400 has 1200 divisors, whose sum is σ = 1060929239040. Its totient is φ = 47742566400.

The previous prime is 229840934381. The next prime is 229840934417. The reversal of 229840934400 is 4439048922.

It is a happy number.

229840934400 is a `hidden beast` number, since 229 + 84 + 0 + 9 + 344 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 79832161 + ... + 79835039.

Almost surely, 2^229840934400 is an apocalyptic number.

229840934400 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 229840934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530464619520).

229840934400 is an abundant number, since it is smaller than the sum of its proper divisors (831088304640).

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

229840934400 is a wasteful number, since it uses less digits than its factorization.

229840934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 229840934400 in words is "two hundred twenty-nine billion, eight hundred forty million, nine hundred thirty-four thousand, four hundred".