229959038400 has 504 divisors, whose sum is σ = 945156849840. Its totient is φ = 48518184960.

The previous prime is 229959038383. The next prime is 229959038401. The reversal of 229959038400 is 4830959922.

It is a happy number.

229959038400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229959038401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3019996 + ... + 3095204.

It is an arithmetic number, because the mean of its divisors is an integer number (1875311210).

Almost surely, 2^229959038400 is an apocalyptic number.

229959038400 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 229959038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472578424920).

229959038400 is an abundant number, since it is smaller than the sum of its proper divisors (715197811440).

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

229959038400 is a wasteful number, since it uses less digits than its factorization.

229959038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75261 (or 75239 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 229959038400 in words is "two hundred twenty-nine billion, nine hundred fifty-nine million, thirty-eight thousand, four hundred".