229460400 has 180 divisors, whose sum is σ = 857719408. Its totient is φ = 56471040.

The previous prime is 229460393. The next prime is 229460401. The reversal of 229460400 is 4064922.

229460400 is digitally balanced in base 2, 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 (180).

It is not an unprimeable number, because it can be changed into a prime (229460401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44349 + ... + 49251.

Almost surely, 2^229460400 is an apocalyptic number.

229460400 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 229460400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428859704).

229460400 is an abundant number, since it is smaller than the sum of its proper divisors (628259008).

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

229460400 is a wasteful number, since it uses less digits than its factorization.

229460400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4940 (or 4926 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 229460400 is about 15147.9503564014. The cubic root of 229460400 is about 612.2130489827.

The spelling of 229460400 in words is "two hundred twenty-nine million, four hundred sixty thousand, four hundred".