4223253600 has 288 divisors, whose sum is σ = 15632749440. Its totient is φ = 1099768320.

The previous prime is 4223253589. The next prime is 4223253623. The reversal of 4223253600 is 63523224.

4223253600 is a `hidden beast` number, since 4 + 2 + 2 + 3 + 2 + 53 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 926527 + ... + 931073.

It is an arithmetic number, because the mean of its divisors is an integer number (54280380).

Almost surely, 2^4223253600 is an apocalyptic number.

4223253600 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 4223253600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7816374720).

4223253600 is an abundant number, since it is smaller than the sum of its proper divisors (11409495840).

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

4223253600 is a wasteful number, since it uses less digits than its factorization.

4223253600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4619 (or 4600 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 4223253600 is about 64986.5647653421. The cubic root of 4223253600 is about 1616.4007885760.

Adding to 4223253600 its reverse (63523224), we get a palindrome (4286776824).

The spelling of 4223253600 in words is "four billion, two hundred twenty-three million, two hundred fifty-three thousand, six hundred".