4230644400 has 360 divisors, whose sum is σ = 15313019904. Its totient is φ = 1080460800.

The previous prime is 4230644371. The next prime is 4230644401. The reversal of 4230644400 is 44460324.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (4230644401) 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, 18637087 + ... + 18637313.

Almost surely, 2^4230644400 is an apocalyptic number.

4230644400 is a gapful number since it is divisible by the number (40) 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 4230644400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7656509952).

4230644400 is an abundant number, since it is smaller than the sum of its proper divisors (11082375504).

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

4230644400 is a wasteful number, since it uses less digits than its factorization.

4230644400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4230644400 is about 65043.4039699645. The cubic root of 4230644400 is about 1617.3431530780.

The spelling of 4230644400 in words is "four billion, two hundred thirty million, six hundred forty-four thousand, four hundred".