4230224400 has 120 divisors (see below), whose sum is σ = 14140077120. Its totient is φ = 1079006720.

The previous prime is 4230224389. The next prime is 4230224407. The reversal of 4230224400 is 44220324.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (4230224407) 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, 49035 + ... + 104234.

It is an arithmetic number, because the mean of its divisors is an integer number (117833976).

Almost surely, 2^4230224400 is an apocalyptic number.

4230224400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4230224400 is an abundant number, since it is smaller than the sum of its proper divisors (9909852720).

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

4230224400 is a wasteful number, since it uses less digits than its factorization.

4230224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153313 (or 153302 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 4230224400 is about 65040.1752765166. The cubic root of 4230224400 is about 1617.2896303723.

Adding to 4230224400 its reverse (44220324), we get a palindrome (4274444724).

The spelling of 4230224400 in words is "four billion, two hundred thirty million, two hundred twenty-four thousand, four hundred".