4243392000 has 480 divisors, whose sum is σ = 15684308640. Its totient is φ = 1102233600.

The previous prime is 4243391993. The next prime is 4243392029. The reversal of 4243392000 is 2933424.

It is a happy number.

4243392000 is a `hidden beast` number, since 424 + 3 + 39 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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, 30527931 + ... + 30528069.

It is an arithmetic number, because the mean of its divisors is an integer number (32675643).

Almost surely, 2^4243392000 is an apocalyptic number.

4243392000 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 4243392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7842154320).

4243392000 is an abundant number, since it is smaller than the sum of its proper divisors (11440916640).

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

4243392000 is a wasteful number, since it uses less digits than its factorization.

4243392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 4243392000 is about 65141.3232902126. The cubic root of 4243392000 is about 1618.9659610598.

The spelling of 4243392000 in words is "four billion, two hundred forty-three million, three hundred ninety-two thousand".