4238406000 has 720 divisors, whose sum is σ = 17132787360. Its totient is φ = 1007769600.

The previous prime is 4238405987. The next prime is 4238406013. The reversal of 4238406000 is 6048324.

4238406000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4238405987) and next prime (4238406013).

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 223073991 + ... + 223074009.

It is an arithmetic number, because the mean of its divisors is an integer number (23795538).

Almost surely, 2^4238406000 is an apocalyptic number.

4238406000 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 4238406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8566393680).

4238406000 is an abundant number, since it is smaller than the sum of its proper divisors (12894381360).

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

4238406000 is an equidigital number, since it uses as much as digits as its factorization.

4238406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4238406000 is about 65103.0414036088. The cubic root of 4238406000 is about 1618.3316157095.

The spelling of 4238406000 in words is "four billion, two hundred thirty-eight million, four hundred six thousand".