4229385600 has 384 divisors, whose sum is σ = 15368837760. Its totient is φ = 1022208000.

The previous prime is 4229385577. The next prime is 4229385763. The reversal of 4229385600 is 65839224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12777435 + ... + 12777765.

It is an arithmetic number, because the mean of its divisors is an integer number (40023015).

Almost surely, 2^4229385600 is an apocalyptic number.

4229385600 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 4229385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7684418880).

4229385600 is an abundant number, since it is smaller than the sum of its proper divisors (11139452160).

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

4229385600 is a wasteful number, since it uses less digits than its factorization.

4229385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 4229385600 is about 65033.7266347239. The cubic root of 4229385600 is about 1617.1827272794.

The spelling of 4229385600 in words is "four billion, two hundred twenty-nine million, three hundred eighty-five thousand, six hundred".