4217248000 has 288 divisors, whose sum is σ = 12229072128. Its totient is φ = 1419264000.

The previous prime is 4217247997. The next prime is 4217248003. The reversal of 4217248000 is 8427124.

It is an interprime number because it is at equal distance from previous prime (4217247997) and next prime (4217248003).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 4217248000.

It is not an unprimeable number, because it can be changed into a prime (4217248003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15007860 + ... + 15008140.

It is an arithmetic number, because the mean of its divisors is an integer number (42462056).

Almost surely, 2^4217248000 is an apocalyptic number.

4217248000 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 4217248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6114536064).

4217248000 is an abundant number, since it is smaller than the sum of its proper divisors (8011824128).

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

4217248000 is an equidigital number, since it uses as much as digits as its factorization.

4217248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 4217248000 is about 64940.3418531193. The cubic root of 4217248000 is about 1615.6342341157.

The spelling of 4217248000 in words is "four billion, two hundred seventeen million, two hundred forty-eight thousand".